Answer:
[tex]\displaystyle \frac{7}{12}[/tex]
Step-by-step explanation:
When we are subtracting fractions with different denominators, we find the least common denominator of each one. In the case of 6 and 4, they both share 12 as the least common denominator, so we can rewrite each fraction as equivalents with denominators of 12:
[tex]\displaystyle \frac{5}{6}-\frac{1}{4}=\frac{5*2}{6*2}-\frac{1*3}{4*3}=\frac{10}{12}-\frac{3}{12}=\frac{7}{12}[/tex]
Step-by-step explanation:
This calculator subtracts two fractions. First, convert all fractions to a common denominator when fractions have different denominators
Fine Floors can install 15 square yards of carpeting in 4 hours 30 minutes. At this rate, how long would it take to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches?
Answer:
Step-by-step explanation:
To figure out how long it would take Fine Floors to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches, we first need to determine how many square yards of carpeting are needed for the room. We can start by converting the dimensions of the room from feet and inches to yards, since that's the unit of measurement we're working with.
To convert feet to yards, we divide by 3. For example, 11 feet is equal to 11/3 = 3.67 yards. To convert inches to yards, we divide by 36 (since there are 36 inches in a yard). For example, 9 inches is equal to 9/36 = 0.25 yards.
So the length of the room in yards is 3.67 + 0.25 = 3.92 yards, and the width of the room in yards is 13/3 + 4/36 = 4.33 + 0.11 = 4.44 yards.
To determine the total area of the room in square yards, we multiply the length and width: 3.92 * 4.44 = 17.38 square yards.
Now that we know how many square yards of carpeting are needed for the room, we can use that information to calculate how long it would take Fine Floors to install the carpeting. Since we know that Fine Floors can install 15 square yards of carpeting in 4 hours 30 minutes, we can use that as the ratio for our calculation.
To calculate how long it will take to install 17.38 square yards of carpeting, we use the proportion:
(15 sq. yards) / (4 hours 30 minutes) = (17.38 sq. yards) / (x hours)
Cross multiplying and solving for x, we find: x = (4 hours 30 minutes) * (17.38 sq. yards) / (15 sq. yards)
So it would take Fine Floors approximately 5 hours and 11 minutes to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches.
19x+4 find the value of x
Answer:
x= -4/19
Step-by-step explanation:
19x+4
19x+4=0
19x= - 4
x= -4/19
Toni runs around her school's baseball diamond. Each side is 27 m long. Note: A baseball diamond is square. How far does Toni run? m
Answer:
If we assume she runs around it once and since they tell us its a square: 27x4=108
Step-by-step explanation:
Find the volume of the given solid. Bounded by the cylinder y^2+z^2=4 and the planes x=2y, x=0, z=0 in the first octant
The volume of the given solid. Bounded by the cylinder y^2+z^2=4 and the planes x=2y, x=0, z=0 in the first octant is 16/3 unit cute
V = ∫ dV
= ∫0→2 ∫ 0→π/2 ∫ 0→ 2·r·sin(φ) [ r ] dzdφdr
Factorize to have
= ∫0→2 ∫ 0→π/2 [ r·2·r·sin(φ) - r·0 ] dφdr
= ∫0→2 ∫ 0→π/2 [ 2·r²·sin(φ) ] dφdr
= ∫0→2 [ -2·r²·cos(π/2) + 2·r²·cos(0) ] dr
= ∫0→2 [ 2·r² ] dr
= (2/3)·2³ - (2/3)·0³
Conclusively, this implies that the volume is = 16/3
In conclusion, the volume of the given solid is 16/3. cubic units
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help with this math assignment pls
From the classification angles, it was possible to find the arcs:
UL=40, UY= 90, TY=50, YLE =270, LE=140 and UET=220.
UETIf UE= 180 and TE=40, you have:
UET=UE+TE
UET=180+40
UET=220
Classification AnglesThey are a lot of classifications for angles like complementary angles, supplementary angles, right angles, and others. See below:
complementary angles - two angles whose sum is equal to 90°.supplementary angles - two angles whose sum is equal to 180°.right angles - angles whose measure is 90°.opposite angles - opposite angles consequently they are congruent.The question gives mTE=40, and it asks:
ULUL is opposite the arc TE, therefore its value is also 40.
UYThe figure shows a right angle, then UY is equal to 90.
TYIf UY is equal 90, YE is equal to 90 too, because they are supplementary. If YE=90 and TE=40, you have:
TE+TY=90
40+TY=90
TY=90-40
TY=50
YLEYLE = YE+UE. The figure shows YE=90 and UE represents a semicircle (180). Thus,
YLE= 90+180=270
LEIf UE= 180 and UL=40, you have:
UE=UL+LE
180=40+LE
LE=180-40
LE=140
UETIf UE= 180 and TE=40, you have:
UET=UE+TE
UET=180+40
UET=220
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Could someone help answer this? Thanks!
The limit of a function y=f(x) at x=a is sometimes best understood as the approximate height of the function around x=a based on the values around x=a whereas the value of the function f at x=a is the exact height of the function at that point. Consider two functions 1) f(x)=x+1 and g(x)=(x^2-1)/(x-1). Answer the following questions. (a) Discuss the process of finding the limit x->1 f(x). (b) How does it differ from f(1)?
a) The process to find the limit is given as follows:
f(x): simply replace x by 1.g(x): factor and then replacing.b) When a function does not have any discontinuity at x = 1, the procedure is the same as calculating f(1), however in the case of a discontinuity, such as for f(x), the discontinuity first has to be removed, if possible.
How to calculate the limit of a function?The first step in calculating the limit of a function is calculating the numeric value of the function at the value of x which the function approaches.
Hence:
lim x -> 1 f(x) = 1 + 1 = 2.lim x -> 1 g(x) = (1² - 1)/(1 - 1) = 0/0.For the case of g(x), there is a discontinuity, meaning that the function has to be factored to remove the discontinuity.
Applying the subtraction of perfect squares, we have that:
x² - 1 = (x - 1)(x + 1).
Then:
g(x) = (x - 1)(x + 1)/(x - 1) = x + 1.
Meaning that the limit is then calculated as follows:
lim x -> 1 g(x) = lim x->1 x + 1 = 1 + 1 = 2.
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How do logarithmic functions model real-world problems and their solutions? Give a specific example and explain.
The process of logarithmic functions in real-worlds problems is given below.
And an example of an application of logarithmic function is given.
What is Logarithmic?The inverse of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.
We know,
logarithmic function and exponential function are inverse of each other.
So, whenever we solve the exponential function,
we use the help of logarithmic functions.
To compute the number with bigger exponents,
we use the logarithms.
Because it reduces the size of the numbers.
Let the bacteria is growing exponentially,
b = 2ⁿ.
We know that the bacteria grows every hour.
We want to find time.
Here, we will use the inverse function to the exponential function.
How long will it take them to get 1000 bacteria?
1000 = 2ⁿ
Taking log on both sides,
log(1000) = n log2
n = log(1000)/log(2)
n = 9.96
n ≈ 10 hours.
Therefore, an application of logarithmic function is given above.
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We are asking everyone to focus on reducing their average transaction time by 10%. The average transaction time for this location is 6 minutes and 52 seconds."So we have to get the average transaction time down to __________."
Answer:
Step-by-step explanation:
The average transaction time of this location reduced to 371 seconds.
Several minutes later, Raul decides to measure the water temperature again. He finds that the temperature changed by -0.6°F. What is the temperature of the water now? Show your work.
The current temperature of the water is given as follows:
71.7 ºF.
How to obtain the current temperature of the water?The defining statement from the problem is given as follows:
He finds that the temperature changed by -0.6°F.
The change by the negative amount of -0.6ºF means that the current temperature of the water is obtained subtracting the previous temperature of the water by 0.6 ºF.
The previous temperature of the water is given as follows:
72.3°F.
Hence the current temperature of the water is obtained subtracting 72.3ºF and 0.6ºF, as follows:
72.3 - 0.6 = 71.7 ºF.
Missing InformationThe previous temperature of the water is given as follows:
72.3°F.
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suppose that a randomly generated list of numbers from 0 to 9 is being used to simlulate an event that has a probability of success of 30% which of these groups of numbers could represent a success
Any event for which, the 3 numbers between 0 and 9 are outcomes could represent the success.
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.Given is that suppose that a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 30%.
For the success rate of 30%, this means the probability of that specific event would be 0.3.
So any event for which, the 3 numbers between 0 and 9 are outcomes or are the number of favorable events could represent the success.
Therefore, any event for which, the 3 numbers between 0 and 9 are outcomes could represent the success.
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Mr Paul has 4 bars of chocolate. He distributes 1/3
of each bar to 4 children.
a) Write the fraction of chocolate distributed.
b) Write the fraction of cholates left with Mr. Paul
a) The fraction of chocolate distributed is given as follows: 4/3.
b) The fraction of chocolates left with Paul is given as follows: 8/3.
How to obtain the fractions?The fractions are obtained applying the proportions used in the context of this problem.
He distributes 1/3 of each bar to 4 children, hence the total number of bars distributed is given as follows:
4 x 1/3 = 4/3.
(multiplication of fractions, multiply the numerators and the denominators, keeping the quotient).
The total number of bars that Paul had initially is given as follows:
4 bars.
Then the fraction of chocolate remaining with Paul is given by the subtraction of the total amount of bars by the amount given to the children, as follows:
4 - 4/3 = 12/3 - 4/3 = 8/3 bars.
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5.7935 rounded to the nearest thousand
Answer:
5.794
Step-by-step explanation:
The seven after the decimal point is the tenth digit, the nine is the hundredth, and the 3 is the thousandth place. Therefore, we look at our neighbor (the number next to the thousandth place) and if its 5 or more we round up, but if its 4 or less we keep it the same.
Use the rule x+8 to write a sequence of numbers. Then write the sequence as a list of ordered pairs. Start with and substitute at least six values for .
Answer:
Here is a sequence of numbers using the rule "x+8":
x+8=9 (x=1)
x+8=10 (x=2)
x+8=11 (x=3)
x+8=12 (x=4)
x+8=13 (x=5)
x+8=14 (x=6)
Here is the sequence of ordered pairs:
(1, 9)
(2, 10)
(3, 11)
(4, 12)
(5, 13)
(6, 14)
Find the difference between Mary's weight when she was 10 year's old and when she was born
The difference between Mary's weight when she was 10 year's old and when she was born will be;
⇒ 72 pounds
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
When Mary was born, she weighed 8 pounds.
And, When she was 10 years old, she weighed 10 times as much.
Now,
Since, When she was 10 years old, she weighed 10 times as much.
Hence, When she was 10 years old, she weighed = 10 × 8 pounds
= 80 pounds
And, When Mary was born, she weighed 8 pounds.
Thus, The difference between Mary's weight when she was 10 year's old and when she was born is,
⇒ 80 - 8 pounds
⇒ 72 pounds
So, The difference between Mary's weight when she was 10 year's old and when she was born is 72 pounds.
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The complete question is this,
When Mary was born, she weighed 8 pounds. When she was 10 years old, she weighed 10 times as much. How much more did Mary weigh when she was 10 years old than she was born?
find quotient 5/4 divided by 13/12
Answer: 1.15384615385
Step-by-step explanation:
divide
Anna and Sharon both construct a triangle. Anna begins by drawing a segment with a length of 3 inches. Starting from one vertex, she draws another segment with a length of 5 inches so that the two segments have an included angle of 35°. Sharon constructs her triangle by drawing a segment with a length of 5 inches, measuring a 35° angle, and drawing a ray from one vertex. Then she measures and terminates the ray at 3 inches. Do Anna and Sharon create congruent triangles? Explain.
Answer:
Yes, Anna and Sharon both created triangles that are congruent. Their triangles are congruent because they have 2 corresponding, congruent side-lengths and an included angle that is congruent. Therefore, their triangles are congruent by SAS (Side-Angle-Side).
type an (x,y) ordered pair to put a point on this line.
The ordered pair (x, y) for the given line can be obtained from the graph as (-4, 1).
What is the equation for a straight line?A straight line can be written in the form of an equation as, y = mx + c.
Two straight lines intersect each other only at one point.
When two straight lines are parallel to each other the angle between them is zero.
The graph of the line is given.
In order to find the coordinate of a point do as follows,
Draw a perpendicular line from any point on the line to the x-axis.
The intersection of this line with the x-axis will give the x-coordinate.
Similarly, find the y-coordinate by drawing a perpendicular line to the y-axis.
Applying the above procedure, a point is obtained as (-4, 1).
Hence, the ordered pair for the line shown in the graph is (-4, 1).
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The weight of the square is 10 grams. How much heavier is the circle than the square?
The weight of the circle is heavier than the weight of the square by the weight of the triangle
How to find how much weightier is the circle as compared with the squareExamining the weights, can lead to a linear equation, the equation will have the follows parameters
let t represent triangle
let c represent circle
let s represent square
6s + 3t = 3s + 3c
6s - 3s + 3t = 3s + 3c
3s + 3t = 3c
divide through by 3
s + t = c
10 + t = c
From the equation 10 + t = c we can say that the weight of the circle is a triangle weight more than the square
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Please help
Match the items.
a. Multiplicative Inverse
b. Additive Inverse
c. Commutative Property of Multiplication
d. Distributive Property
e. Additive Identity Property
f. Associative Property of Addition
1. 5.6=6-5
2. -8+0= -8
3. (3+5) +9=3+ (5+9)
4. 5.1=1
5. 7+(-7)=0
6. 5(x−4)=5x−20
The matching of the items as follows ,a - 4 , b - 5, c - 1 , d - 6 , e - 2 , f - 3
What is a number ?
number is used to represent the quantity of number and it is even used for calculations.
a) Multiplicative inverse
if the product the given number and reciprocal of the given number is 1.
so,
5 * 1/5 = 1
as LHS = 5 * 1/5 = 1
RHS = 1
Hence , a - 4
b ) Additive inverse
if the summation of the given number and opposite sign of given number results 0 .
7 + (-7) = 0
LHS = 7+ (-7) = 0
RHS = 0
hence , b - 5
c ) Commutative Property of Multiplication
if a.b = b.a hence it is in Commutative Property of Multiplication .
so, 5.6 = 6.5
hence , c - 1
d) Distributive property
if a ( b + c ) = a*b + a*c than it is in distributive property .
hence , d - 6
e) Additive Identity Property
if a+ 0 = a hence it is Additive Identity Property
so , b - 2
f ) Associative Property of Addition
if (a+b) + c = a + (b+c ) hence it is in Associative Property of Addition
so , f - 3.
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A pizza shop sold 18 medium pizzas. The number of large pizzas sold was 3 times as many as the number of medium pizzas sold. How many pizzas did the pizza shop sell altogether?
Answer:
18 × 3 = 54
18 + 54 = 72
Therefore, the answer is 72.
Help PLEASE IN A RUSH!
Which graph represents this system?
y = 3. x + y = 4.
On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).
On a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (4, 0).
On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (2, 6).
On a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (3, 7).
Answer:
first option
Step-by-step explanation:
y = 3 is a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of 3
x + y = 4 ← is the equation of a straight line
find the x and y- intercepts
to find the y- intercept let x = 0 in the equation and solve for y
0 + y = 4 , that is
y = 4 ⇒ (0, 4 ) is a point on line
to find the x- intercept let y = 0 in the equation and solve for x
x + 0 = 4 , that is
x = 4 ⇒ (4, 0 ) is a point on the line
the graph representing the system is
a horizontal line y = 3 and another line passing through (0, 4 ) and (4, 0 )
A triangle has sides with lengths 8, 15, and 17. approximate the acute angles in this triangle to the nearest degree and list in ascending order
Answer:
28°, 62°
Step-by-step explanation:
As 8,15,17 is a Pythagorean Triple, the triangle must be a right triangle. Hence, we can use our common trig ratios to solve the problem. Let's assume our right triangle has a base of 8, a height of 15, and a hypotenuse of 17.
Here are all the acute angles in order:
[tex]\cos^{-1}(\frac{15}{17})\approx28^\circ[/tex]
[tex]\sin^{-1}(\frac{15}{17})\approx62^\circ[/tex]
Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.
Opposite side = 14 in.
Adjacent side = 22 in.
cos θ = ?
Answer
Since this is a right triangle, we can use the inverse cosine function to solve for the angle θ.
cos θ = Opposite side / Adjacent side
cos θ = 14 / 22
cos θ = 0.6363
θ = cos^-1 (0.6363)
θ ≈ 45.9°
What is the point of intersection when the system of equations below is graphed on the coordinate plane?
(1, –3)
(–1, 3)
(1, 3)
(–1, –3)
The point of intersection is (–3.5, 0.5) when the system of equations below is graphed on the coordinate plane.
What is the equation?The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.
The system of equations below
-x + y = 4,
6x + y = -3
As per the given question, the required graph has been attached below.
The point of intersection when the system of equations is graphed on the coordinate plane is (–3.5, 0.5).
This is the point where the two lines cross each other.
Hence, the correct answer would be an option (D).
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The question seems to be incomplete the correct question would be:
What is the point of intersection when the system of equations below is graphed on the coordinate plane? -x+y=4, 6x+y= -3
A. (1, –3)
B. (–1, 3)
C. (1, 3)
D. (–3.5, 0.5)
please help it’s due in half an hour
Answer:
(a) They asked for one value of x
but I'll give you both
They're 2 and -2
(b)g(-1) = 4
Step-by-step explanation:
For (a) they're are looking for the value of x that is corresponding to 1 on the y axis
If you observe from your graph only -2 and 2 will have a corresponding value of 1 therefore they're the answers
for (b) Just look for the corresponding value of -1(x -axis) on the y axis which is 4
Select largest number from 16,48,8
Answer:
48.
Step-by-step explanation:
8 < 16 < 48
48 > 16 > 8
Answer:
Step-by-step explanation:
Select largest number from 16,48,8
Tara is painting her room she brought paint that takes 3 gallons to cover an area of 75 square feet how many gallons of paint will tara need to paint 375 square feet of her room
(2,1)
H
-8-6-4-2
(6,-3)
948
6+Q
4
y
·N··
2+
-2-
-6-
-8
P
2
4 6
R
8
What is the image of R for a dilation with center (0, 0) and a scale factor of
2
X
Answer: free allah long live
Step-by-step explanation:
46564
There is a raffle for the class of 30
students. There are 3 prizes that are gift
cards for the value of $5, $10 and $25.
How many ways can there be 3 winners of
this raffle?
Answer:
Having 3 students pick a raffle
Step-by-step explanation:
Which of these systems of equations has infinitely many solutions? Explain your choice(s).
a. (1/2)x - 5y = 10
(-1/2)x + 5y = -10
b. 7x + 2y = -14
-7x + 2y = -14
c. x + 6y = -18
x - 6y = 18
d. (3/4)x - 9y = 12
(-3/4)x + 9y = 12