Answer:
The answer is 25/24 or 1.041
Step-by-step explanation:
Given 5/6 and 5/8, you can't find the sum at that point. This means we will have to find a common denominator, which will be 24.
6 x 4 = 24 and 8 x 3 = 24
Doing this, you will have to multiply the numerator and denominator by the value the denominator needs to be multiplied by to get 24.
5/6 x 4/4 = 20/24 and 5/8 x 3/3 = 15/24
After getting these values, you can then add them.
20/24 + 15/24 = 25/24 or 1.041
The best estimate for the sum of fractions 5//6 and 5/8 is 35/24.
We have to determine
What is the best estimate for the sum of fractions 5//6 and 5/8?
Sum of fraction;The addition of Fractions depends on one main factor which is the denominator of the fraction to be added.
There are different ways to add them depending on whether the denominators of the fractions to be added are like or unlike.
The sum of the fraction 5//6 and 5/8 is;
\(\rm= \dfrac{5}{6}+\dfrac{5}{8}\\\\=\dfrac{5\times 8+5\times 6}{48}\\\\= \dfrac{40+30}{48}\\\\=\dfrac{70}{48}\\\\=\dfrac{35}{24}\)
Hence, the best estimate for the sum of fractions 5//6 and 5/8 is 35/24.
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1-2 | 5x | = -37
I need help with this question
Answer: 19/5
Step-by-step explanation:
can someone help me with this question please? ASAP
Answer:
pentagram lookin symbol its c btw
Step-by-step explanation:
If ABC=DEC B=48 and E=C+4
x=?
Answer:44
Step-by-step explanation:the two triangles are congruent , so we deduce from that the angle B=angle E =48
So, x+4=48 , x=44 degree
Christian likes to rollerblade. He takes messages and packages around town for people on his rollerblades to get them there very fast. He charges $20 for the trip and $0.50 per mile traveled. Write an equation that represents the cost of sending a package with Christian.
Please help, I'll make sure to give brainly if you explain.
the distance traveled is 10 miles, then the cost would be:
Cost = 20 + 0.5(10)
Cost = 20 + 5
Cost = $25
What is cost?Cost generally refers to the amount of resources, such as money, time, effort, or other resources, that must be expended in order to achieve a particular goal or complete a specific task. The concept of cost is often used in business and economics, where it is used to describe the expenses incurred in producing goods or services. In finance, cost can refer to the price of a particular asset or investment, as well as the associated expenses such as transaction fees or interest payments. The term cost can also be used more broadly to describe the negative consequences or drawbacks associated with a particular decision or action.
Let's say the distance traveled is represented by the variable "d" (in miles).
Then, the equation that represents the cost of sending a package with Christian is:
Cost = 20 + 0.5d
This equation takes into account both the fixed fee and the variable cost based on the distance traveled.
For example, if the distance traveled is 10 miles, then the cost would be:
Cost = 20 + 0.5(10)
Cost = 20 + 5
Cost = $25
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I'll MARK THE BRAINLIEST!
The line plots show the results of a survey of 10 boys and 10 girls about how many hours they spent reading for pleasure the previous week. A) Which statement is true about the range? B) Which statement is true about the mean?
A} The range is greater for the girls, B) The mean is less for the girls
B} The range is greater for the girls, B) The mean is greater for the girls
C} The range is greater for the boys, B) The mean is greater for the girls
D}The range is greater for the boys, B) The mean is greater for the boys
The range is greater for the girls and the mean is greater for the girls. So, correct option is B.
A) The statement "The range is greater for the girls" is true. The range is the difference between the highest and the lowest values in a data set.
Looking at the line plots, the highest value for the boys is 10, and the lowest is 3, giving a range of 7 hours. The highest value for the girls is 9, and the lowest is 5, giving a range of 4 hours. Therefore, the range is greater for the boys.
B) The mean is the sum of all values divided by the total number of values. To calculate the mean for the boys, we add up all the hours and divide by 10, which gives us:
(3 + 6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10) / 10 = 7.4 hours
To calculate the mean for the girls, we add up all the hours and divide by 10, which gives us:
(5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9) / 10 = 7.1 hours
Therefore, the mean for the boys is 7.4 hours and the mean for the girls is 7.1 hours, so the statement "The mean is greater for the girls".
So, correct option is B.
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Find all critical numbers of the function \(g(x)=x^{\frac{3}{4} }-2x^{\frac{1}{4} }\). Show the steps!
Differentiate g using the power rule:
\(g'(x) = \dfrac34 x^{\frac34-1} - 2\cdot\dfrac14 x^{\frac14-1}\)
\(g'(x) = \dfrac34 x^{-\frac14} - \dfrac12 x^{-\frac34}\)
\(g'(x) = \dfrac14 x^{-\frac34} \left(3 x^{\frac12} - 2\right)\)
\(g'(x) = \dfrac{3\sqrt x - 2}{4 x^{\frac34}}\)
The critical points of g occur where g' is zero or undefined.
We have
\(g'(x) = 0 \implies 3\sqrt x - 2 = 0 \implies \sqrt x = \dfrac23 \implies \boxed{x = \dfrac49}\)
and the derivative is undefined for
\(\dfrac1{g'(x)} = 0 \implies 4x^{\frac34} = 0 \implies \boxed{x=0}\)
Someone help me please and thank you
Answer: 2a < 2b
Step-by-step explanation:
We are given a statement:
a < b and b < c, then 2a ____ 2b
We can use simple numbers that make the statement true.
Where,
a = 2
b = 3
c = 4
Now lets plug it in.
2 < 3 and 3 < 4, then 2(2) ____ 2(3)
and lets simplify:
2 < 3 and 3 < 4, then 4 ____ 6
We can see that 4 is less than 6,
so as a is less than b, 2a is less than 2b.
The only thing changing is the coefficient being multiplied by the variables a and b.
y=9/4×2
sketch the graph of f and f on the same set of axes
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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Verify identities Will give BRAINLIST do not give me trash!!
cot^2(x) - csc^2(x) = -1
show steps
Answer:
See proof below
Step-by-step explanation
cot^2(x) - csc^2(x) = -1
In trigonometry identity
cot^2x = cos²x/sin²x
Csc²x = 1/sin²x
Substitute into the original expression
cos²x/sin²x - 1/sin²x
Find the LCM
(Cos²x-1)/sin²x .... *
Recall that sin²x+cos²x = 1
Sin²x = 1-cos²x
-sin²x = -1+cos²x
-sin²x = cos²x-1 .... **
Substitute ** into *
(Cos²x-1)/sin²x
-sin²x/sin²x
= -1 (RHS)
Therefore cot^2(x) - csc^2(x) = -1 (Proved!)
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
Identify the missing measures
Answer: The value of the question mark should be 28 Since Angles are vertically Opposite
An architect creates a scale model. The volume of the scale model is 0.1 cubic meters. The volume of the real-world
building is 100,000 cubic meters. What is the ratio of corresponding sides from model to real world?
Answer:
1:0.4641
Step-by-step explanation:
We are told that the scale of the model with respect to the real world is 0.1 cubic meter. This means that for every 1 cubic meter in the real world the model represents 0.1.
They tell us that the real world volume is 100,000, that if we assume a cube, we have to:
V = l ^ 3
l = 100000 ^ (1/3)
l = 46.41
46.41 meters would be each side, now the volume of the model would be:
100,000 * 0.1 = 10,000
Which means that its sides would be:
V = l ^ 3
l = 100000 ^ (1/3)
l = 21.54
We calculate the scale of the sides:
21.54 / 46.41 = 0.4641
Which means that for every 1 meter in the real world the model represents 0.4641 meters.
Solve x^2+8x+22=0 by completing the square.
Answer: x = √-6 - 4
Step-by-step explanation:
x^2+8x+22=0
(x+4)^2 - 16 + 22 = 0
(x+4)^2 + 6 = 0
(x+4)^2 = -6
√(x+4)^2 = √-6
x = √-6 - 4
√6 = 2.449
What is the relationship between 3/4 and 9/12?
Answer:
timed by 3
Step-by-step explanation:
\(\frac{3}{4} x 3 \frac{9}{12}\)
then you get 9/12
but 3/4 is simplified
In ΔVWX, the measure of ∠X=90°, XW = 65, WV = 97, and VX = 72. What is the value of the cosine of ∠V to the nearest hundredth?
Answer:
The cosine of ∠V is of 0.74.
Step-by-step explanation:
Relations in a right triangle:
The cosine of an angle is given by the length of the adjacent side divided by the length of the hypotenuse.
XW = 65, WV = 97, and VX = 72.
\(\sqrt{65^2+72^2} = 97\), and thus, this is a right triangle.
What is the value of the cosine of ∠V to the nearest hundredth?
The hypotenuse is the largest side, that is, WV = 97.
The adjacent side of angle V is VX = 72. So
\(\cos{B} = \frac{72}{97} = 0.74\)
The cosine of ∠V is of 0.74.
Which ordered pair is a solution of the equation? -x-4y=-10 A: (3,2) B: (-3,3) C: Both D: Neither
Answer:
D
Step-by-step explanation:
we let that,
(3,2)=(x,y)
given the equation that,
x-4y=10
so,we substitute the values of (x,y)=(3,2)it become
3-4(2)=-5
and test another coordinates(-3,3)
-3-4(3)=-15
botha answers doesn't give 10 as the answer so the answer is D(neither)
Writeanequationforthelinethatpassesthrough(4,-3)and has a slope of 3.
Answer:
x+y=1 (if x=4 )
4+y=1
y=1-4
y=-3
Answer:
y = 3x -15
Step-by-step explanation:
y = mx + c
y = 3x + c
-3 = 3(4) + c
-3 = 12 + c
-3-12 = c
-15 = c
y = 3x -15
Two bells P and Q ring at intervals of 3hours and 4hours respectively. After how many hours will the two bells first ring simultaneously (at the same time)
Answer:
12 hours
Step-by-step explanation:
4 / 2
2/2
1
4 = 2²
2² x 3 = 4 x 3 = 12
Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
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In a right triangle, the length of one leg is 4 units. The length of the other leg is 5 units. What is the length of the hypotenuse?
A. 3
B. (the square root of) 18ft.
C. (the square root of) 20ft.
D. (the square root of) 41ft.
Answer:
D. (the square root of) 41ft.
Step-by-step explanation:
4+5=c
4^2+5^2=c^2
16+25=c
41=c
Your revenue (in dollars) for selling x hamburgers is given by f(x) = 5x and your profit is $20 less than 70% of the revenue. What is your profit for 24 sales?
The profit for 24 sales is $64.
The profit for 24 sales, we first need to calculate the revenue and then determine the profit based on the given information.
The revenue function is given as f(x) = 5x, where x represents the number of hamburgers sold.
To find the revenue for 24 sales, we substitute x = 24 into the revenue function:
Revenue = f(24)
= 5 × 24
= 120 dollars
Now, let's calculate the profit.
The profit is $20 less than 70% of the revenue.
We can express this mathematically as:
Profit = 0.7 × Revenue - $20
Substituting the value of Revenue we calculated earlier:
Profit = 0.7 × 120 - $20
= 84 - $20
= $64
We must first compute the revenue for 24 sales before calculating the profit based on the available data.
The revenue function is denoted by the formula f(x) = 5x, where x is the quantity of hamburgers sold.
We add x = 24 to the revenue function to get the revenue for 24 sales:
f(24) = 5 x 24 = 120 dollars is the revenue.
Let's now determine the profit.
The profit is $20 below the revenue's 70%.
This may be written mathematically as:
Revenue - $20 x Profit = 0.7
Substituting the earlier determined figure of Revenue:
Earnings = 0.7 x 120 - $20 = 84 - $20 = $64
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Bob has a coupon for 1 free container of chocolate milk. He can either buy a 4.25 pint bottle, a 2.5 quart bottle, or a 0.5 gallon bottle. which should he choose if he wants the most chocolate milk?
2.5 quarts
1) We need to convert those measures to one unit so that we can compare then
4.25-pint bottle
2.5-quart bottle
0.5 gallon
2) We can set a proportion for that. Let's convert them into gallons
1 pint -------------------------0.125 gallons
4.25 pint--------------------- x
Cross multiplying it we get to:
x= 4.25 * 0.125 = 0.53 gallons
1 quart -----------------------------0.25g
2.5 quart ------------------------- y
y= 0.625 gallons
And the last one since it's in gallons, we don't need to convert.
3) Hence, the best option for Bob is picking a 2.5-quart bottle to get the most chocolate milk, since 0.5 gallons < 4.25 pint <2.5 quarts
One number is 9 more than another number, and their sum is 25. Find the number
Answer:
8
Step-by-step explanation:
let one of the number be x
other number = x +9
if their sume is 25
X + X + 9 = 25
2X +9 = 25
2X = 25 - 9
2X = 16
X = 16/2
X= 8
Answer:
8 and 17
Step-by-step explanation:
a = b + 9 Eq. 1
a + b = 25 Eq. 2
Replacing Eq. 1 on Eq. 2
(b+9) + b = 25
2b + 9 = 25
2b = 25 - 9
2b = 16
b = 16/2
b = 8
from the Eq. 1
a = b + 9
a = 8 + 9
a = 17
Check:
from the Eq 2
a + b = 25
17 + 8 = 25
Raoul has 72 wristbands and 96 movie passes to put in gift bags. The greatest common factor for the number of wristbands and the number of movie passes is qual to the number of gift bags. Raoul needs to make. Then find how many wristbands and how many movie passes raoul can put in each gift bag if he evenly distributes the items.
Please help I am stuck I am doing work nonstop on all weekends if I don’t get this right and done please help and will give brainlesst for the correct answer
Answer:
Step-by-step explanation:
I do know give me brainliest first
Answer:
24 gift bags
Step-by-step explanation:
Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!
May I have heart, 5 star, and brainliest please?
Please help me to do this i really need it.
First correct Answer gets Brainliest.
Answer:
Step-by-step explanation:
-3≤ x = graph 6
-3 > x = graph 3
x≥ 3 = graph 2
x ≤ 3 = graph 4
3 > x = graph 1
x > 3 = graph 5
the closed circles means greater/less than or equal to
the open circle means greater/less than
the direction of the arrow tells you if the number is greater than x or less than x
I need help with this!
The length AC in the kite is 8.7 cm.
How to find the side AC in the kite?A kite is a quadrilateral that has two pairs of consecutive equal sides and
perpendicular diagonals. Therefore, let's find the length AC in the kite.
Hence, using Pythagoras's theorem, let's find CE.
Therefore,
7² - 4² = CE²
CE = √49 - 16
CE = √33
CE = √33
Let's find AE as follows:
5²- 4² = AE²
AE = √25 - 16
AE = √9
AE = 3 units
Therefore,
AC = √33 + 3
AC = 5.74456264654 + 3
AC = 8.74456264654
AC = 8.7 units
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Is the a system of equations has no solution, the graph of the system are?
Answer:
When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
problem 3: global destination in this problem: use the algorithms from class, such as dfs, bfs, dijkstras, connected components, etc., as a black-box subroutine for your algorithm; see the instructions on the front page. make sure to explain your algorithm in words. let g
DFS can be used because the graph is directed and all of the edge weights are positive.
What is Algorithms?
An algorithm is a process used to carry out a computation or solve a problem. In either hardware-based or software-based routines, algorithms function as a detailed sequence of instructions that carry out predetermined operations sequentially. All aspects of IT employ algorithms extensively.
Steps can be taken. There may be a path from v to z* but not from z* to v or different from each with different weights, so we just need to apply DFS, dijkstras twice, starting with vertex v, to find the path length until z*. Then we need to add the path weights.
The problem is clear in that we need to find path weight from v to z* and z* to v. There may be more than one path that leads from v to z*, thus we must locate them all and store some of them because each loop will require a time complexity of O(V+E).
where, in the given graph, E stands for edges and V for vertex. When a graph is complete, meaning there is a path connecting every vertex to every other vertex, we must execute this technique V times to determine the total number of paths. As a result, the time complexity is O(V(V+E)).
Then we must repeat the process from z* to v, but this time we must choose every path whose weights satisfy the specified condition. In the worst case, we must repeat this process (V-1) times, thus the time complexity will be the same as before. As a result, our time complexity will be O(V(V+E)) overall.
Since the graph is directed and every edge weight is positive, DFS may be used.
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Find the linear function with the following properties.
f(−4)=6
Slope of f=−6
Given:
f(−4)=6
Slope of f=−6
To find:
The linear function with the given properties.
Solution:
We have,
f(−4)=6
It means, the value of linear function is 6 at x=-4. So, the linear function passes through the point (-4,6).
Slope of f=−6
The point slope form of a linear function is
\(y-y_1=m(x-x_1)\)
where, m is slope of the linear function.
On substituting the values, we get
\(y-6=(-6)(x-(-4))\)
\(y-6=-6(x+4)\)
\(y-6=-6x-24\)
Add 6 on both sides.
\(y-6+6=-6x-24+6\)
\(y=-6x-18\)
The function form of this linear equation is
\(f(x)=-6x-18\)
Therefore, the required function is \(f(x)=-6x-18\).
Put these numbers in order from least to greatest.
-13 4/20 13 18/36 12/40 4/20
Answer:
Step-by-step explanation:
-13, 4/20, 4/20, 12/40, 13, 18/40 i think
Answer:
-13 < 4/20 = 4/20 < 12/40 < 18/36 < 13
Step-by-step explanation: