Answer:
the sum of 2rude 5 is 4.47-(answer)and the sum of 3 rude 7 is 7.79-(answer).
Hi there, here's your answer:
Given the question [tex]2\sqrt{5} + 3\sqrt{7}[/tex]
Since these two roots have no common factors, we can either leave the expression as it is, or simplify using the values of the roots.
In which case, [tex]\sqrt{5} = 2.236[/tex] and [tex]\sqrt{7} = 2.645[/tex]
On simplifying, we get
[tex]2\sqrt{5}[/tex] = 2 × 2.236 = 4.472
And
[tex]3\sqrt{7}[/tex] = 3 × 2.645 = 7.935
Thus, the sum will be 4.472 + 7.935 = 12.407
Hope it helps! Please mark as Brainliest!
please help
On a coordinate plane, the fountain is at (7, 5), the gardens are at (3, negative 5), the pond is at (negative 1, 7), and concessions are at (negative 7, 0). Your sister texted you, but the text cut off. Her text read, “Meet me at the trails located at (–2,”. Assuming that the trails are not located on the x-axis and given the content of her text, you can conclude that the trails must be located in either .
Answer: B quadrant 2 or quadrant 3
Step-by-step explanation:
how many pattern block triangles would create 2 hexagons
Answer:
Step-by-step explanation:
twelve triangles make 2 hexagons, which means there are 12 groups of in 2
The 3rd term of an arithmetic sequence is 1407 and the 10th term is 1183. Calculate the number of positive terms in the sequence.
Answer:
Let a be the first term and d be the common difference.
3rd term = 1407
a+2d = 1407 ------- 1
10th term = 1183
a+9d = 1183 ------- 2
By solving 1 and 2, a = 1471 and d = -32
so the general term T(n) = 1471 + (n-1)(-32)
= 1471 - 32n +32
= -32n + 1503
-32n + 1503 [tex]\geq[/tex] 0
-32n [tex]\geq[/tex] -1503
n [tex]\leq[/tex] 46.96875
The number of positive terms = 46
In the linear equation y=2x+3, if x increases by 4 points, how much will y increase?
In the linear equation y=2x+3, if x increases by 4 points, the y will increase by 8 points.
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation's graph will always be a straight line. A linear equation is expressed using the linear equation formula. There are numerous ways to accomplish this. A linear equation, for instance, can be written in standard form, slope-intercept form, or point-slope form.
According to that,
y=2x+3 is the linear equation.
x will now rise by 4 points.
According to the data given, the calculation is as follows:
x = x + 4
So = 2(x)
= 2(x + 4) + 3
= (2x + 3) + 8
= y + 8
Eight points should be added to the y.
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Suppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you 1.50 for selling the first subscription. For each additional subscription sold, the magazine company will pay you 20 cent more than what was paid for the previous subscription. How much will you earn by selling magazine subscriptions?
As per unitary method, you'll earn $9.50 by selling five magazine subscriptions.
The unitary method is a method of finding a single value of a quantity or unit, given the value of a unit of the same quantity. In this case, we need to find out how much money you'll earn by selling magazine subscriptions.
We know that for selling the first subscription, the magazine company will pay you $1.50. For each additional subscription sold, the magazine company will pay 20 cents more than what was paid for the previous subscription.
Let's use the unitary method to find out how much you'll earn by selling the second subscription.
The magazine company pays 20 cents more than $1.50 for the second subscription. Therefore, the payment for the second subscription is
=> $1.50 + $0.20 = $1.70.
Using the same method, we can calculate the payment for the third subscription, which is
=> $1.70 + $0.20 = $1.90.
Similarly, we can use the unitary method to calculate the payment for the fourth, fifth, and so on, subscriptions.
By adding up the payments for each subscription, we can calculate your total earnings. Let's assume you sold five subscriptions.
The payment for the first subscription is $1.50, for the second subscription, it's $1.70, for the third subscription, it's $1.90, for the fourth subscription, it's $2.10, and for the fifth subscription, it's $2.30.
Total earnings = $1.50 + $1.70 + $1.90 + $2.10 + $2.30 = $9.50.
Therefore, you'll earn $9.50 by selling five magazine subscriptions.
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A parabola can be drawn given a focus of (0, 4) and a directrix of y =
be said about the parabola?
Answer: A parabola can be defined as the set of all points that are equidistant from a focus and a directrix. Based on the information provided, the focus of the parabola is (0, 4) and the directrix is y =.
The parabola will open upwards or downwards depending on the location of the focus and the directrix. Since the focus is at (0, 4), and the directrix is at y =, the parabola must open upwards. The axis of symmetry of the parabola will pass through the focus and will be perpendicular to the directrix.
Without more information, it is not possible to fully determine the shape and equation of the parabola. The shape of the parabola and its equation can be found by using the focus and directrix and other information, such as the vertex or a point on the parabola.
Step-by-step explanation:
Please help, I’ll give brainliest!!!!!!!!!!!!
The solution to the given system of equation is (-2,7) and (2, -1).
What is system of equation?A system of equations are the set of equations where the solution for these equations are the intersecting point between the equations.
The graph denotes the two equations in which one is line and another one is parabola.
These system equation has two solutions.
That is, the point where the curve and line intersect is the solution for the system.
In this graph, the line and the curve intersects at two points,
i.e., (-2,7) and (2, -1).
Hence, the solution to the given system of equation is (-2,7) and (2, -1).
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The growth of a bacteria population is modeled by the equation p(h)=1,000e(0.4h).
a. How long does it take for the population to double? Round to the nearest quarter of an hour.
a. 1 hour and 45 minutes for the bacteria population to double.
To find out how long it takes for the bacteria population to double, we need to solve the equation:
2p(0) = p(h)
where p(0) is the initial population and h is the time it takes for the population to double.
Since p(h) = [tex]1000e^{(0.4h)}[/tex], we can write:
2p(0) = [tex]1000e^{(0.4h)}[/tex]
Dividing both sides by 1000, we get:
2p(0)/1000 = [tex]e^{(0.4h)}[/tex]
Taking the natural logarithm of both sides, we get:
ln(2p(0)/1000) = 0.4h
Solving for h, we get:
h = ln(2p(0)/1000) / 0.4
We know that p(0) = 1, since the initial population is given as 1,000. Substituting this value, we get:
h = ln(2) / 0.4
h ≈ 1.73
So it takes approximately 1.73 hours for the bacteria population to double.
Rounding to the nearest quarter of an hour.
we get:
h ≈ 1.75 hours
h ≈ 1 hour and 45 minutes
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the density of zinc is 7.13 g/cm3. calculate the probability that a density measurement of the post-1982 pennies made using the caliper method is within 5% of the density of zinc. use the caliper data for the entire lab session to perform your calculation, and assume that the data fits a normal distribution.
As per the density the probability that a density measurement of the post-1982 pennies is 0.3565 g/cm3.
Density is an important physical property that can help identify materials. In this case, we are interested in the density of zinc and how it relates to the post-1982 pennies.
To calculate the probability of a density measurement within 5% of the density of zinc, we need to first determine the range of densities that fall within 5% of the zinc density.
The 5% range of the zinc density is calculated by multiplying the zinc density (7.13 g/cm3) by 5% (0.05), which gives us 0.3565 g/cm3.
The upper and lower limits of this range are then calculated by adding and subtracting this value from the zinc density, respectively.
The upper limit is 7.4865 g/cm3 (7.13 + 0.3565),
while the lower limit is 6.7735 g/cm3 (7.13 - 0.3565).
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hello can anyone help me wiith this
Answer: Correct answer is -1
Step-by-step explanation:
How many 200 mL glasses can be filled using a 2.2 L bottle of cola?
Answer:
11 glasses
Step-by-step explanation:
There are 200 ml glasses and we have 2.21 liter of bottels. So first of all covert liter into ml so we get 2210 ml of coca cola.now divide 2210 by 200 so we get 11 glasses
Assume d varies directly as t and d = 180 when t = 3. Find t when d = 390.
The value of t is 6.5. The value of the constant is 60
What varies directly?
The relationship between two variables in which one is a constant multiple of the other is referred to as direct variation. For instance, two variables are said to be in proportion when one affects the other. b = ka is the equation if b is directly proportional to a. (where k is a constant).
Given that d varies directly as t.
The relation between d and t is
d = kt.
Given that d = 180 when t = 3.
Putting d = 180 and t = 3 in d = kt
180 = 3k
Divide both sides by 3:
k = 180/3
k = 60
Putting k = 60 in d = kt:
d = 60t
Now putting d = 390 in d = 60t:
390 = 60t
60t = 390
Divide both sides by 60
t = 6.5
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The seats in a theater are arranged in rows with an equal number of seats in each row. The graph shows the relationship between the number of rows and the total number of seats. How many seats are in each row (The variables can only be positive numbers.)
The number of seats in each raw by the given graph is 30.
How do we make graph of a function?Suppose the considered function whose graph is to be made is
f(x)
The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values
f(x)
are plotted on the vertical axis.
They are together plotted on the point
(x,y) = (x, f(x))
This is why we usually write the functions as:
y = f(x)
Let the number of rows in the original arrangement be x. Then, the number of seats in each row in original arrangement = x
Total number of seats = x x x = x²
From the given information,
2x(x-10)= x²+ 300
2x²-20x = x²+300
x²-20x-3000
(x-30) (x+10) = 0
x = 30, -10
Since, by the function number of rows or seats cannot be negative. So, x = 30.
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2/2^(4-3x)= 8
find x
The equation will be solved x = 2.
What is an Equations?Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
The given equation 2/[tex]2^{(4-3x)}[/tex] = 8
[tex]2^{(4-3x)}[/tex] = 2/8
[tex]2^{(4-3x)}[/tex] = 2⁻²
So we can take 4-3x = -2
3x = 4+2
x = 6/3 = 2
Hence, the equation will be solved x = 2.
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It is given that the volume of the cylinder and the cuboid are the same. Find the value of x and give your answer correct to two decimal places. Jawapan / Answer: 7 cm 8 cm [3 markah/ 3 marks] For Examine Use
who can help me pls
Step-by-step explanation:
the radius of the circular base is 7/2=3.5 cm
the surface of the base is πr^2=π*(3.5)^2=38.465
volume of the cylinder is surface of the base*high
38.465*30=1153.95
the cuboid volume=8^2*x=64x
64x=1153.95
x=1153.95/65=18.03 cm=18 cm
Tara has been planting young trees in her garden. The maple tree that is 10 inches taill is
growing 4 inches per month, whereas the oak tree that is 25 inches taill is growing 1 inch per
month. In a few months, the two trees will be the same height. What will that height be?
Write a system of equations, graph them, and type the solution.
The system of the equations are:
y = 10 + 4x
y = 25 + x
The height of tree is 30 inches tall.
The graph is given below.
The solution is (5, 30).
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation
We have,
Maple tree:
The maple tree that is 10 inches tall is
growing 4 inches per month,
This can be written as,
y = 10 + 4x _____(1)
Where y is the height of the tree.
Oak tree:
The oak tree is 25 inches tall and is growing 1 inch per
month.
This can be written as,
y = 25 + x ______(2)
Where y is the height of the tree.
Now,
From (1) and (2),
In a few months, the two trees will be the same height.
So,
10 + 4x = 25 + x
4x - x = 25 - 10
3x = 15
x = 5
Now,
y = 10 + 4x = 10 + 4 x 5 = 10 + 20 = 30
y = 25 + x = 25 + 5 = 30
Thus,
The height of tree is 30 inches tall.
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rectangle abcd is dilated by a scale factor of 1/4 to form a’b’c’d’. point t is the center of dilation and lies on segment ab as shown
The slope of A'B' is 0 and the length of A'B' is 1/4(5) = 1.25 units.
What is transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
The line AB has the following coordinates.
A = (1, 4)
B = (6, 4)
The distance between AB is given as:
AB = √(6 - 1)² + (4 - 4)²
AB = √(5)²
AB = 5
The slope of AB = 0.
For the dilated rectangle the slope remains the same.
The slope of A'B' is 0 and the length of A'B' is 1/4(5) = 5/4 = 1.25 units.
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The correct question is:
Find −23−(−12). Write your answer as a fraction or mixed number in simplest form
The simplest fraction form of an expression, (- 2/3) - (-1/2) is equals to the -1/6.
A fraction is a number that represents a part of whole. It is expressed as quoitent, in which numerator is divided by denominator. For ex : 3/4 is a fraction, where 3 is numerator and 4 is denominator. We have an expression, (- 2/3) - (-1/2). This expression is substraction of two rational number and both are negative rational numbers. Using sign law of multiplication: - × - = + , i.e., multiplation of two negative numbers result positive number.
=> - 2/3 + 1/2
Both fraction has different denominators. Write as least common multiple of 2 and 3, i.e., LCM(2,3)= 6
=> ( -2 × 2 + 3 )/6
Simplify the expression as possible
=> (- 4 + 3 )/6
=> - 1/6
This is the needed simplified fraction. Hence, The solution in simplest fraction is -1/6.
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2. Order the following decimals from least to greatest.
0.439
0.394
0.441
0.531
0.342
Answer: 0.342 -> 0.394 -> 0.439 -> 0.441 -> 0.531
Step-by-step explanation:
0.342 -> 0.394 -> 0.439 -> 0.441 -> 0.531
If you convert the decimals into fractions out of a hundred, then it will be easily to keep going from least to greatest or greatest to least and soon you won't need help. Keep trying! :)
Forest rangers at a state park have observed a decline in the rate of trees per
acre over a 5-year period. At the beginning of their observations, there was an
average of 48 trees per acre. At the end of the 5-year period, there was an
average of 42 trees per acre. If this trend continues, how many trees per acre
will there be 4½ years from the end of the 5-year observation period?
helppp
There will be 36.6 trees per acre after 4½ years from the end of the 5-year observation period. The solution has been obtained by using unitary method.
What is the unitary method?
The value of each individual unit is first determined using the unitary method, and only then is the value of the required number of units determined.
We are given that at the beginning of their observations, there was an average of 48 trees per acre. At the end of the 5-year period, there was an average of 42 trees per acre.
So, decline in trees per acre in 5 years is 48 - 42 = 6 trees per acre
So, decline in 1 year = 6/5 = 1.2 trees per acre
Similarly, decline in 4.5 years = 1.2 * 4.5 = 5.4 trees per acre
Thus, trees left per acre = 42 - 5.4 = 36.6 trees
Hence, there will be 36.6 trees per acre after 4½ years.
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Which expression is equivalent to
O
13
√√2
√√√/2
8-3√11 is the expression which is equivalent to √11+√64-2√44.
What is Expression?The combination of variables, numbers and operators is called as expression.
The given expression is √11+√64-2√44
Square root of 11 plus square root of sixty four minus two square root of forty four.
Let us find the equivalent expression of √11+√64-2√44
The expressions in which the expressions look different but have save same value are Equivalent
√11+√64-2√44
√11+8-2√4×11
√11+8-4√11
Combine like terms
8-3√11
Hence, 8-3√11 is the expression which is equivalent to √11+√64-2√44.
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Which expression is equivalent to √11+√64-2√44
A. 8-4√44
B. 5√3-4√11
C. 8-3√11
how to convert 26kg 45g in kg
Step-by-step explanation:
45g = 0.045kg
0.045 + 26 = 26.045
Final answer is 26.045 kg
Henry buys candy that costs $4 per pound. He will spend at most $20 on candy. What are the possible numbers of pounds he will buy?
Use p for the number of pounds Henry will buy
Write your answer as an inequality solved for p.
Answer:
5 pounds
Step-by-step explanation:
$20/$4 = 5 pounds
HOPE IT HELPS!
The phrases exponential growth and exponential decay appear quite often in media reports these days, referring to environmental, technological, and scientific changes.
In your own words, how would you describe exponential growth and exponential decay to someone unfamiliar with these phrases?
Exponential growth is a pattern of data that shows a rapid increase over time, while exponential decay is a pattern of data that shows a rapid decrease over time.
What is xponential growth and exponential decay?An rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay.
The fundamental distinction between the two is that in an exponential decay relationship, the output values rise quickly as the input value rises, whereas in an exponential growth relationship, the output rises noticeably faster as the input value rises.
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A phone sells for $230. It is now on sale for 30% off. How much money will April save if she buys the phone on sale?
If the phone is in sale of 30% off, the money April save if she buys the phone on sale is $69.
A sale is a reduction of the basic price of a good or a service. It can occur on any stage in the process of production.
It is given that a phone sells for $230. It is now on sale for 30% off.
Now, Cost price = $230
sale percentage = 30%
so, the sale price = [tex]230 \times 30\%\\[/tex]
or [tex]230 \times \frac{30}{100}[/tex] = $69
therefore, the money April will save if she buys the phone on sale is $69.
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3.37 examples of correlated variables. give an example of two variables in your field of study that are a. positively correlated b. negatively correlated
The length and width of a rectangle is Positively correlated variables and the base and height of a triangle is negativley correlated variables.
In mathematics, there are many examples of variables that can be positively or negatively correlated. Here are two examples:
a. Positively correlated variables: The length and width of a rectangle. If you increase the length of a rectangle, the width tends to increase as well. So, there is a positive correlation between the length and width of a rectangle.
b. Negatively correlated variables: The base and height of a triangle. If you increase the base of a triangle, you can keep the area the same by decreasing the height, and vice versa. So, there is a negative correlation between the base and height of a triangle.
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Fill in the missing numbers to complete the linear equation that gives the rule for this table.
x y
3 91
4 89
5 87
6 85
The linear equation for the given coordinate points is y=-2x+97.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
From the given table, the coordinate points are (3, 91) and (4, 89).
Here, slope (m)= (89-91)/(4-3)
m= -2
Substitute m=-2 and (x, y)=(3, 91) in y=mx+c, we get
91=-2(3)+c
91=-6+c
c=97
So, the equation is y=-2x+97
Therefore, the linear equation is y=-2x+97.
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Please read the photo
The average rate of change is 2.The rate of change of the function is its gradient or slope.
How is the average rate determined?To get the average rate of change, divide the change in y-values by the change in x-values.Knowing the average rate of change is necessary to detect changes in observable metrics like average speed or average velocity.
What is the average change rate?It displays the typical rate of change of the function for each unit during that time. It is determined using the slope of the line connecting the ends of the interval in the function graph.
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The inn has ten rooms. One-half of the rooms are reserved for Friday. The rest are vacant. Of 12 more rooms are reserved for Friday, what will be the total number of occupied rooms on Friday?
Using, the mathematical inequalities, we can conclude that the total number of occupied rooms on Friday is 10.
Number of rooms in the inn = 10
It is given that One-half of the rooms are reserved for Friday which means 5 rooms were initially reserved on Friday.
Now, 12 more rooms are reserved for Friday.
So, the Initial reservation for Friday = 5
Final reservations for Friday = 5 + 12 = 17
Now, Final reservations for Friday(17) > Total number of rooms in the inn(10).
As the reservation exceeds the capacity of the hotel, 7 reservations will be cancelled and all 10 rooms will be occupied on Friday.
Hence, the total number of occupied rooms on Friday is 10.
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I need some help I'm confused
PLEASE GIVE BRAINLIEST!
thank you and have a good day :)
Answer:
b^5
Step-by-step explanation:
When you are multiplying exponents with the same letter base, you simply just add the exponents.
for example, x^2 * x^3 = x^5
another example, y^6 * y^8 = y^14
An expression equivalent to b^3 * b^2 would be b^5
I hope this helps!
