Answer: [tex]\dfrac{1}{8}[/tex]
Step-by-step explanation:
Given
On Saturday, Molly's family traveled [tex]\frac{5}{8}[/tex] of the total distance
On Sunday, they traveled one-third of the remaining distance.
Suppose the total distance is x
Distance traveled on Saturday is [tex]\dfrac{5x}{8}[/tex]
Remaining distance is
[tex]x-\dfrac{5x}{8}=\dfrac{3x}{8}[/tex]
On Sunday, they travel
[tex]\dfrac{1}{3}\times \dfrac{3x}{8}=\dfrac{x}{8}[/tex]
fraction of total distance traveled on Sunday is [tex]\dfrac{1}{8}[/tex]
у +4=3x
2y-6x=-8
Help
Answer:
x=0, y=-4
Step-by-step explanation:
y=3x-4
2(3x-4)-6x=-8
6x-8-6x=-8
The point (5,5) is on a line with slope 1/3. How much is is the bonus/penalty in this equation?
The equation is y = 1/3 x + 10/3. The y-intercept is 10/3.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the point (5,5) is on a line with slope 1/3. The y-intercept will be calculated as,
y = mx + c
5 = (5/3)) + c
c = ( 15 - 5 ) / 3
c = 10 / 3'
y = 1/3x + 10/3
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How to get Universal Credit Loophole $1,500?
You can get Universal Credit Loophole for $1,500 through Advance Payment.
While you wait for the first distribution of Universal Credit, advance payments up to the full amount of the first anticipated payment are available if you need money to pay bills and other household needs. In your online account or by contacting your Job-Centre Plus job coach, you can submit an application for an advance payment.
You will require:
Describe why you require an advance.the identity of the person (you do this when you apply online or on the phone with a work coach)supply the advance's bank account information (talk to your work coach if you cannot open an account)The money must be repaid within a year by taking deductions from your Universal Credit installments.
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1) Rewrite f(x)=[x] as a piecewise linear function from 6
Answer:
[x] is the greatest integer function, which returns the greatest integer less than or equal to x. This can be written as a piecewise linear function as follows:
f(x) =
x-1, if x is not an integer and x>1
x, if x is an integer or x<=1
For example, if x=6, then f(x)=6. If x=6.5, then f(x)=5. If x=0.5, then f(x)=0.
So, the piecewise linear function for f(x)=[x] is:
f(x) =
x-1, if x is not an integer and x>1
x, if x is an integer or x<=1
HELP WHAT IS THIS !! i need help
Step-by-step explanation:
always remember Pythagoras for right-angled triangles :
c² = a² + b²
c is the Hypotenuse (the side opposite of the 90° angle), a and b are the legs.
this principle must be always fulfilled, otherwise it is not a right-angled triangle.
when your have a triangle problem (particularly for a right-angled triangle) with only side information, there is a high chance that you need to use Pythagoras.
in our case
(2×sqrt(3))² = x² + (sqrt(3))²
4×3 = x² + 3
12 = x² + 3
x² = 9
x = 3
that's all.
FYI : sqrt(x²) has actually 2 solutions : -x and +x, as both are squared equal to x².
but a negative number does not make any sense for general side lengths and similar things. so, the positive solution here is the only valid one.
if the percentage increase is 79%, what is the growth factor?
PLS HELP TYSMMM
With an increase of 79% the growth factor is 1.79.
What is growth factor?The rate at which a quantity multiplies itself over time is known as its growth factor.
A quantity's growth rate is the factor by which it grows (or shrinks) over time.
An increase of 79% is the same result as multiplying with 1.79.
We call 1.79 a growth factor.
In other words:
With an increase of 79%,
you will get 100+ 79 = 179%.
The growth factor that corresponds with 179% = 179 : 100 = 1.79.
Written as a formula, it looks like this:
With an increase of p % the growth factor is
g = (100 + p) / 100
Simplifying,
g = 1 + p /100
g = 1 + 79/100
g = 1 + 0.79
g = 1.79.
Therefore, the growth factor is 1.79.
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The Cruisers scored a total of 105 points in a basketball game against the Strikers. The Cruisers had a total of 43 baskets, some of which were two-point shots and some of which were three-point shots. How many two-point and three-point shots did the Cruisers score?
The number of two-points and three points shot the cruisers scored are 24 and 19 respectively.
How to find the number of two and three points made?The Cruisers scored a total of 105 points in a basketball game against the Strikers. The Cruisers had a total of 43 baskets, some of which were two-point shots and some of which were three-point shots.
Therefore, the number of two-points and three-points the cruiser scored is as follows:
let
x = number of two-points
y = number of three-points
Hence, using equation
x + y = 43
2x + 3y = 105
Multiply equation(i) by 2
2x + 2y = 86
2x + 3y = 105
subtract equation(i) from equation(ii)
y = 19
Let's find x as follows:
x = 43 - 19
x = 24
Therefore,
number of two points = 24
number of three points = 19
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An Olympic-sized pool, which holds 660,000 gallons of water,
is only 63% full. The pool maintenance company adds more
water, filling the pool to 90% full. How many gallons of water
did they add?
P
7.AR 3.1
a
244 200
178 200
B) 594 000
415.800
134
Answer:
178,200
Step-by-step explanation:
You want to know the number of gallons added to a 660,000 gallon pool to raise it from 63% full to 90% full.
IncreaseThe increase from 63% to 90% is an increase of ...
0.90 -0.63 = 0.27
of the capacity of the pool. That fraction of the capacity is ...
0.27 × 660,000 gallons = 178,200 gallons
The maintenance company added 178,200 gallons.
T/F if an > 0 and lim n→[infinity] an + 1 an < 1, then lim n→[infinity] an = 0.
The expression aₙ > 0 and lim n → [∞] aₙ + 1 is true.
The term expression in math is defined as a sentence with a minimum of two numbers or variables and at least one math operation.
Here we have given that if an > 0 and lim n→[infinity] an + 1 an < 1, then lim n→[infinity] an = 0.
And we need to check whether the given statement is true or not.
While we looking into the given question, we have identified the following expression,
=> lim n → [∞] aₙ + 1
Here we have also know that the value of aₙ > 0.
When we equate the given expression with zero, we have get the following expression,
=> lim n → [∞] aₙ + 1 = 0
=> lim n → [∞] aₙ = -1
Here we have given the condition that, aₙ >0, so
=> lim n → [∞] aₙ = 0
Therefore, the expression is zero.
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The amount of what used by a washing machine varies directly with the weight of the load being washed. The washing machine uses 28 gallons to wash 7 pounds of clothing. How many gallons of water will the machine use to wash 24.5 pounds of laundry?
Answer:
140 gallons of water would it use for 10 loads of laundry.
Step-by-step explanation:
w ∝ l
w = kl
k = proportionality constant.
For, w = 28 gallons
l = 2 loads of laundry
Put in the equation;
28 = 2 k
k = 14
Now, when l = 10 loads of laundry, w = ?
w = 14 × 10
w = 140
What is edge computing and how does it work Mcq?
38. Light house is a tower which is designed to exit light from a system of lamps and to
serve as a navigational aid for maritime pilots at sea. Two boats approaching a light
house in mid sea from opposite direction as shown in figure. The angle of elevation
of light house from both boats are also given.
45°
B(Boat)
(i) Find the height of the light house.
(ii) Find the distance BP.
(iii) Find the distance AB.
Answer:
(i) height: 36.6 m
(ii) BP = 36.6 m
(iii) AB = 51.8 m
(iv) AC = 73.2 m
Step-by-step explanation:
Given angles of elevation of 45° and 30° to the same point A from locations 100 m apart, you want to know the height of A, and distances BP, AB, and AC in the diagram.
Special trianglesThe figure is divided into two special triangles. The one on the left is an isosceles right triangle with side lengths in the ratio 1:1:√2. The one on the right is a 30°-60°-90° triangle with side lengths in the ratio 1:√3:2. The common side AP corresponds to one ratio unit in each of these ratios.
(i) and (ii)BP = AP = 1 ratio unit means BP : PC = 1 : √3, and ...
BP/BC = 1/(1+√3)
BP = BC/(1+√3) ≈ (100 m)/2.73205
BP ≈ 33.6 m
AP = 33.6 m . . . . . . same as BP
(iii)AB is √2 times AP, so is ...
AB = √2 · 36.6 m
AB ≈ 51.8 m
ACAC is 2 times AP, so is ...
AC = 2·(36.6 m)
AC = 73.2 m
How do you draw an angle ABC?
Draw a line segment, place the compass point on point A, and draw an arc that intersects the line segment. Next, place the compass point on point B, and draw another arc that intersects the first arc at a point on the line segment. Finally, place the compass on the point where the two arcs intersect without changing the width of the second arc, and draw another arc that intersects the line segment. Finally, connect the point where the second arc intersects the segment to point C.
What is an angle?When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together.
Why do we measure angles?Angle measures are helpful not just for academic purposes but also for understanding and using the objects around us. They may aid with spatial knowledge and the link between numbers and measurements.
Follow these steps to draw angle ABC:
The base of the angle should be represented by a section of a line.
With the compass's point on point A, draw an arc that crosses the line segment.
Draw a second arc that crosses the previous arc at a point on the line segment by setting the compass's point on point B.
Place the compass on the intersection of the two arcs and create another arc that intersects the line segment without adjusting the compass's width.
To finish the angle, join point C to the location where the second arc crosses the line segment.
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Is 31 is a prime number or not?
There are only two factors of the number 31 which are 1 and 31. Then the integer number 31 will be a prime number.
What is a prime number?A prime number is a positive integer having exactly two factors which are 1 and the number itself. Any number that does not follow this is termed a composite number.
The prime numbers from 1 to 100 are given below.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
The factor of the 31 will be given as,
31 = 1 x 31
There are only two factors of the number 31 which are 1 and 31.
Thus, the integer number 31 will be a prime number.
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Which equation is the inverse of y 16x2 1?
This equation expresses x as a function of y, meaning y is the input and x is the output. This inverse equation can be used to solve for x when given a value of y
x = (y - 1) / 16
In order to find the inverse of a given equation, we need to switch the x and y values and solve for the new x. To do this, we start by subtracting 1 from both sides of the equation to isolate the y variable. Then, we divide both sides of the equation by 16 to find the inverse equation, x = (y - 1) / 16. This equation expresses x as a function of y, meaning y is the input and x is the output. This inverse equation can be used to solve for x when given a value of y
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Which of the relations given by the following sets of ordered pairs is not a function?
{(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}{(−4,−2),(−1,−1),(3,2),(3,5),(7,10)} ordered pairs is not a function. A mapping between two sets, which is a relation and can potentially be a function, can be represented by a set of ordered pairs.
Which relation is not a function?A relationship is not a function if each input does not have a distinct output. For a relation to be a function, each input must have a distinct output, and the order of the set's items must be paired in a unique way or the elements of sets must be mapped in a unique way.A function is a special type of relation in which each element in the domain is paired with exactly one element in the range. For example, the relation {(1, 2), (3, 4), (5, 6)} is a function because each element in the domain (i.e., {1, 3, 5}) is paired with exactly one element in the range (i.e., {2, 4, 6}). On the other hand, the relation {(1, 2), (3, 4), (1, 6)} is not a function because the element 1 is paired with two elements in the range (2 and 6).All the set ot values agrees with this definition except the B, because the third and fourth pair have the same first value (3)Complete question :
Which of the relations given by the following sets of ordered pairs is not a function?
a. {(5,2),(4,2),(3,2),(2,2),(1,2)}{(5,2),(4,2),(3,2),(2,2),(1,2)}
b. {(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}{(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}
c. {(−8,−3),(−6,−5),(−4,−2),(−2,−7),(−1,−4)}{(−8,−3),(−6,−5),(−4,−2),(−2,−7),(−1,−4)}
d. {(−6,4),(−3,−1),(0,5),(1,−1),(2,3)}
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The table represents a quadratic function. Write an equation of the function in
standard form.
The standard form of the equation of the line for the function is; y =6x + 18
What is the equation?We know that it is possible to obtain the equation of the line by obtaining the slope of the data points. The slope of the data points can be obtained by the use of the points that have been shown in the table.
Taking any two points on the table we have;
[tex]y_{1}[/tex] = 0
[tex]y_{2}[/tex] = -12
[tex]x_{1}[/tex] = -3
[tex]x_{2}[/tex] = -1
Using;
y - [tex]y_{1}[/tex] = [tex]y_{2}[/tex] - [tex]y_{1}[/tex] /[tex]x_{2}[/tex] - [tex]x_{1}[/tex] (x - [tex]x_{1}[/tex] )
We have;
y - 0 = (-12) - 0/(-1) - (-3) ( x - (-3))
y = 12/2 (x + 3)
y =6x + 18
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How do you find the standard deviation of the sum of 4 random variables?
What is the value of the expression 1 2 3 4 5?
The value of the given and completed expression in this problem is
-1
What are combined operations?Combined operations are defined as a set of operations applied to the same problem, for example addition, subtraction, multiplication, are frequently used in arithmetic polynomials.
In this case we have an arithmetic polynomial.
We complete the expression as follows:
1 + 2 - 3 + 4 - 5
We group the positive terms on one side and negative terms on the other:
(1 + 2 + 4) - (3 + 5)7 - (8)-1The value of the expression (1 + 2 - 3 + 4 - 5) is -1
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Solve pls brainliest
y-8=6x+10
y=6x+10+8
y=6x + 18
this follow y = mx+x it means it's a linear
2y= 5x²+19
it doesn't follow y = mx+x so it's a Non Linear
34y = x
it doesn't follow y = mx+x so it's a Non Linear
4y = 2x + 9
this follow y = mx+x it means it's a linear
What is an example of f x G X?
The example of composition function f(g(x)) is given by f(x) = 2x + 1 and g(x) = 3x then f(g(x)) = 6x + 1.
As given in the question,
Composition function is written as :
(fog)(x) = f(g(x))
Here substitute the value x in the function f(x) as function g(x) :
Example of the composition function is:
f(x) = 2x + 1
g(x) = 3x
(fog)(x)
= f(g(x))
=f(3x)
= 2(3x) + 1
= 6x + 1
Therefore, the example of the composition function f(g(x)) is given by :
f(x) = 2x + 1 and g(x) = 3x then f(g(x)) = 6x + 1.
The above question is incomplete, the complete question is:
What is an example of the function f (g(x))?
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What is the area of a triangle with a base of 7 1/2 feet and a height of 8 feet
Answer:
[tex]30ft^{2}[/tex]
Step-by-step explanation:
What is the standard deviation of 7?
Standard Deviation of 7 is 2.983.
How to interpret standard deviation?
The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean.
Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.
Describe standard deviation using an example.
Think about the following data: 2, 1, 3, 2, 4. The average and the sum of squares representing the observations' variances from the mean will be 2.4 and 5.2, respectively. This means that (5.2/5) = 1.01 will be the standard deviation.
Mean = 7,
Standard Deviation of 7 = 2.983.
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For what value of k are the roots of the quadratic equation 3x 2 2kx 27 0?
The values of k are 9, – 9 for which roots of the quadratic equation are real and equal.
What is a quadratic equation?An equation containing one term in which the unknown is squared and no term in which it is raised to a power higher than 2.
Given: 3x² + 2kx + 27 = 0
Comparing with standard quadratic equation ax² + bx + c = 0
a = 3 b = 2k c = 27
Given that the roots of the equation are real and equal
Thus, D = 0
Discriminant D = b² – 4ac = 0
(2k)² – 4.3.27 = 0
4k² – 324 = 0
4k² = 324
k² = 81 taking square root on both sides
k = 9 or k = – 9
Hence, The values of k are 9, – 9 for which roots of the quadratic equation are real and equal.
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[tex](9b+3)^{2}[/tex]
Answer:
81b^2 + 54b + 9
Step-by-step explanation:
(9b+3)^2=
(9b+3)(9b+3)=
9b(9b+3) + 3(9b+3) =
(9b*9b + 3*9b) + (3*9b + 3*3)=
9*9*b*b + 27b + 27b + 9 = 81b^2 + 54b + 9
What is the percent of decrease from 63.2 to 35?
Answer:
The percentage of decrease from 63.2 to 35 is 44.5%.
Step-by-step explanation:
To calculate the percent of decrease from 63.2 to 35, we can use the following formula:
percent of decrease = (original value - new value) / original value * 100%
Plugging in the values given in the question, we get:
percent of decrease = (63.2 - 35) / 63.2 * 100%
Solving for the percent of decrease, we get:
percent of decrease = 44.5%
Therefore, the percentage of decrease from 63.2 to 35 is 44.5%.
Answer:
44.6202532 % decrease
Step-by-step explanation:
To find the percent decrease, take the original amount, subtract the new amount and then divide by the original amount
(63.2 - 35) /63.2
28.2/63.2
.446202532
Change to percent form
44.6202532 %
How do you know if it's AAS or ASA?
The triangles are congruent if two sets of comparable angles and the side separating them are known to be congruent. Angle-side-angle is the name of this shortened phrase (ASA). Angle-angle-side (AAS), which takes use of the fact that two sets of angles and the excluded side are known to be congruent, is another shortcut.
ASA is another name for angle side angle. According to the criterion, any two angles and the side that is contained between them in one triangle are equivalent to the corresponding angles and the included side of the other triangle if the two triangles are congruent.
According to the Angle Angle Side (AAS) Postulate, two triangles are congruent if two consecutive angles and a non-included side of one triangle are congruent with the equivalent two consecutive angles and a non-included side of another triangle.
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Help me with this geometry pls
Answer:
Cos A = adjacent/hypotenuse
Cos A = 15/17
Cos A = 2.143
tan A = opposite/adjacent
tan A = 8/15
tan A = 0.533
sin A = opposite/hypotenuse
sin A = 8/17
sin A = 0.471
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-In the figure, Angle A =120° . Find the remaining angles.
The remaining angles ∠B ,∠C and ∠D is 90°,60°,90°.
Given : Angle A = 120°
To find: ∠B ,∠C , ∠D
Solution: In figure, an inscribed angle is the angle formed in the innards of a circle when two heartstrings cross on the circle. It can also be outlined as the angle subtended at a point on the circle by two presented junctures on the circle. Inversely, an incised angle is defined by two heartstrings of the circle sharing an endpoint .
∠A+∠C=180
∠C=180-120
∠C= 60;
In triangle ABC : ∠BAC + ∠ACB+∠ABC=180°
60° + 30° + ∠ABC = 180°
∠ABC = 180°-90°
∠ABC = 90° (so B is 90°)
Therefore, ∠B+∠D=180°
∠D=180°-90°
∠D=90°
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Is quadratic equation class 11?
In class 11 we learn more than the basics of solving quadratic equations.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
A quadratic equation is of the form ax² + bx + c = 0.
Quadratic equations can be solved using one of three main strategies, factoring, the quadratic formula, or completing the square.
Generally, quadratic equation starts from mid school where we learn all the basics and then we learn to solve word problems using quadratic equations and in high school, we learn quadratic equations of complex numbers.
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