Answer:
8/15
Step-by-step explanation:
1/3+1/5
What is the complete factorization of 6x²+x-15?
Answer:
I think (2x−3)(3x+5)
How many groups of 9/5 fraction are in 1?
_____ groups
2.evaluate.
6 divided by 9/5 fraction = ___
There are 5/9 groups in 1
6 divided by 9/5 is 3 1/3.
What are the solutions?An improper fraction is a non integer where the numerator is greater than the denominator. An example is 9/5.
In order to determine the the number of groups of 9/5 that are in 1, divide 1 by 9/5
1 ÷ 9/5
1 × 5/9
9/9 × 5/9 = 5/9
6 ÷ 9/5
6 × 5/9 = 10 / 3 = 3 1/3
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100 points help! (Show your work)
Multiply. −1 2/3 x (−5 1/4)
5 1/6
-8 3/4
−5 1/6
8 3/4
8.75
Step-by-step explanation:-1 2/3 × (-5 1/4)
=35/4
= 8 3/4
= 8.75
Find the slope
(6, 13) and (2,7)
Evaluate y - x when x = -3/8 and y = 7/12.
-3/8 - 7/12 =
First we need to get the denominators same.
(-3 x 3/8 x3) - (7 x 2/12 x 2) =
-9/24 - 14/24 =
-9 - 14/24 =
-23/24
Answer = -23/24
Answer:
5/24
Step-by-step explanation:
y-x y is 7/12 so its positive x is -3/8 so its negative the answer is 5/24
2 ( x + 7 ) + 3 ( x + 1 )
Answer:
The answer is 5x+17
Answer:
X = 7
Step-by-step explanation:
2(x+7) +3(x+7)
2x + 14 + 3x + 21
2x +3x +14 +21
5x ÷5 + 35 ÷5
x. = 7
Write the equation in scientific notation. (6 x 10^-5)(7 x 10^11)
The value of the equation (6 x 10^-5)(7 x 10^11) in scientific notation is 4.2 x 10^7
How to write the equation in scientific notation?The equation is given as
(6 x 10^-5)(7 x 10^11)
Rewrite properly as
(6 x 10^-5)(7 x 10^11) = (6 x 10^-5) x (7 x 10^11)
Remove the bracket
So, we have
(6 x 10^-5)(7 x 10^11) = 6 x 10^-5 x 7 x 10^11
Rewrite the product as
So, we have
(6 x 10^-5)(7 x 10^11) = 6 x 7 x 10^-5 x 10^11
Evaluate the product
So, we have
(6 x 10^-5)(7 x 10^11) = 42 x 10^6
Evaluate the product
So, we have
(6 x 10^-5)(7 x 10^11) = 4.2 x 10^7
Hence, the value of the the equation (6 x 10^-5)(7 x 10^11) in scientific notation is 4.2 x 10^7
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A chef says to cook a Turkey for 1/3 of an hour for every pound the Turkey weighs. How long should you cook a 19 pound Turkey?
Answer:
57 hours
Step-by-step explanation:
19*3 = 57 1/3 pounds
Cook for 1 hour per 1/3 pound
57 hours
Answer:
Step-by-step explanation:
1 hour = 60 min
1/3 of 1 hour = 1/3 x 60 = 20 minutes
19 x 20 = 380 mins
380 minutes = 6 hours and 20 minutes
In parallelogram ABCD, ZAED is a right angle, AD = 4, and ZB = 60°. What is the length of AE?
OA. 4
OB. 2√3
C. 2
OD. 8
O E. 2√2
Answer:
d
Step-by-step explanation:
Answer:
2 is the answer of this question
Experiment The wavelength and speed of a wave can be influenced by many factors. Adjust the
amplitude, frequency, tension, and density as described in the table below. Then report whether this
causes the wavelength and wave speed to increase or decrease. Return each variable to its original value
after each experiment.
Adjustment
Increase amplitude
Increase frequency
Effect on wavelength
Effect on wave speed
A wave is a disturbance that moves along a medium from one end to the other. If one watches an ocean wave moving along the medium (the ocean water), one can observe that the crest of the wave is moving from one location to another over a given interval of time. The crest is observed to cover distance. The speed of an object refers to how fast an object is moving and is usually expressed as the distance travelled per time of travel. In the case of a wave, the speed is the distance travelled by a given point on the wave (such as a crest) in a given interval of time. In equation form,
If the crest of an ocean wave moves a distance of 20 meters in 10 seconds, then the speed of the ocean wave is 2.0 m/s. On the other hand, if the crest of an ocean wave moves a distance of 25 meters in 10 seconds (the same amount of time), then the speed of this ocean wave is 2.5 m/s. The faster wave travels a greater distance in the same amount of time.
Reflection phenomena are commonly observed with sound waves. When you let out a holler within a canyon, you often hear the echo of the holler. The sound wave travels through the medium (air in this case), reflects off the canyon wall and returns to its origin (you). The result is that you hear the echo (the reflected sound wave) of your holler.
Noah stands 170 meters away from a steep canyon wall. He shouts and hears the echo of his voice one second later. What is the speed of the wave?
In this instance, the sound wave travels 340 meters in 1 second, so the speed of the wave is 340 m/s. Remember, when there is a reflection, the wave doubles its distance. In other words, the distance travelled by the sound wave in 1 second is equivalent to the 170 meters down to the canyon wall plus the 170 meters back from the canyon wall.
Speed of a Wave Lab - Sample Data
Trial Tension(N) Frequency(Hz) Wavelength(m) Speed(m/s)
1 2.0 4.0 54.00 16.2
2 2.0 8.03 2.00 16.1
3 2.0 12.30 1.33 16.4
4 2.0 16.2 1.00 16.2
5 2.0 20.2 0.800 16.2
6 5.0 12.8 2.00 25.6
7 5.0 19.3 1.33 25.7
8 5.0 25.5 1.00 25.5
In the first five trials, the tension of the rope was held constant and the frequency was systematically changed. The data in rows 1-5 of the table above demonstrate that a change in the frequency of a wave does not affect the speed of the wave. The speed remained a near constant value of approximately 16.2 m/s. The small variations in the values for the speed were the result of experimental error, rather than a demonstration of some physical law. The data convincingly show that wave frequency does not affect wave speed. An increase in wave frequency caused a decrease in wavelength while the wave speed remained constant.
The last three trials involved the same procedure with a different rope tension. Observe that the speed of the waves in rows 6-8 is distinctly different than the speed of the wave in rows 1-5. The obvious cause of this difference is the alteration of the tension of the rope. The speed of the waves was significantly higher at higher tensions. Waves travel through tighter ropes at higher speeds. So while the frequency did not affect the speed of the wave, the tension in the medium (the rope) did. In fact, the speed of a wave is not dependent upon (causally affected by) properties of the wave itself. Rather, the speed of the wave is dependent upon the properties of the medium such as the tension of the rope.
Variables Affecting Wave Speed
What variables affect the speed at which a wave travels through a medium? Does the frequency or wavelength of the wave affect its speed? Does the amplitude of the wave affect its speed? Or are other variables such as the mass density of the medium or the elasticity of the medium responsible for affecting the speed of the wave? These questions are often investigated in the form of a lab in a physics classroom.
Suppose a wave generator is used to produce several waves within a rope of a measurable tension. The wavelength, frequency and speed are determined. Then the frequency of vibration of the generator is changed to investigate the effect of frequency upon wave speed. Finally, the tension of the rope is altered to investigate the effect of tension upon wave speed. Sample data for the experiment are shown below.
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Which comparison statement is true? A. -3\4<-2\3 B. -1\6<-1\5 C. -1\2<-2\3 D. −2\3 >−2\4
The comparison statement which is true among the other given answer choices is; Choice A; -3/4<-2/3.
Which is the comparison statement which is true among the answer choices given?It follows from the task content that the comparison statement which is true among the answer choices given be determined.
On this note, one must recall that the arrangement of numbers on the number line is such that numbers are arranged in increasing order of value from left to right. For instance; -3 < -2 while; 2 < 3.
Hence, the answer choice which is correct is; Choice A; -3/4 < -2/3 as evident from the fact that; -0.75 < -0.667.
The concept above follows from the conversion of the numbers to decimals while using the number line arrangement of numbers.
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A house on the market was valued at $397,000. After several years, the value decreased by 8%. By how much did the
house's value decrease in dollars? What is the current value of the house?
Answers:
The house's value decreased by $31,760
The current value is $365,240
===========================================================
Work Shown:
8% of 397,000 = 0.08*397000 = 31,760 is the amount of lost value in the home. In other words, the value has dropped by this much.
The current value is 397,000-31,760 = 365,240
---------------
If you didn't care about how much value was lost, and only cared about the current value, then you can take this slight shortcut
100% - 8% = 92%
92% of 397,000 = 0.92*397000 = 365,240
If the house lost 8% of its value, then it keeps the remaining 92% to be currently valued at $365,240
This shortcut is useful if you wanted to chain together many percentage increases or decreases together.
If a bagged lunch is chosed at random, what is the possibility that it contains a cheese
sandwich, cookies and water?
Sandwich: Peanut Butter, Cheese, Turkey
Side: Chips, Cookies, Fruit
Drink: Juice, Milk, Water
Answer:
1/27
Step-by-step explanation:
pb.chips.juice
pb.chips.milk
pb.chips.water
pb.cookies.juice
pb.cookies.milk
pb.cookies.water
pb.fruit.juice.
pb.fruit.milk
pb.fruit.watet
time that by three (as every section has three )
or
1/3 of cheese
1/3 of cookies times 1/3 x 1/3 x 1/3 = 1/27
1/3 of water
6. How many cans each 1.5 litres in capacity can be filled from a tank containing 63 litres of water?
42 cans each 1.5 litres in capacity can be filled from a tank containing 63 litres of water.
Given, the capacity of each can is 1.5 litres and the tank holding 63 litres of water. We have to find the number of cans that can be filled from the tank containing 63 litres of water.
Let x number of cans can be filled from the tank containing 63 litres of water having each 1.5 litres in capacity, we have
x = 63/1.5
x = 630/15
x = 42
∴ The required answer is 42.
Hence, 42 cans each 1.5 litres in capacity can be filled from a tank containing 63 litres of water.
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If q I s the number of quarts of lemonade, then 1/4 quarts can be used the number of cups of lemonade mix. How much mix is needed to make the needed amount of lemonade?
2 quarts 8 quarts 12 quarts 18 quarts
Answer: q I made 2 quarts of lemonade using 1/4 quarts is x = 1/8 lemonade
q I made 8 quarts of lemonade using 1/4 quarts is x = 1/32 lemonade
q I made 12 quarts of lemonade using 1/4 quarts is x = 1/48 lemonade
q I made 18 quarts of lemonade using 1/4 quarts is x = 1/72 lemonade
Step-by-step explanation:
Given data,
If q I s the number of quarts of lemonade, then 1/4 quarts can be used the number of cups of lemonade mix.
we know that, first we can use 2 quarts,
Then,
q I made 2 quarts of lemonade using 1/4 quarts
so,
using proportion
Find out the amount of sugar needed to make 1 quart of lemonade
Let,
x ----> the amount of lemonade
[2/(1/4)] lemonade/quarts of lemonade = (1/x)(quarts lemonade/quarts of lemonade)
[2/(1/4)] = 1/x
8/1 = 1/x
x = 1/8 lemonade
q I made 8 quarts of lemonade using 1/4 quarts
so, we can write,
[8/(1/4)] = 1/x
32/1 = 1/x
x = 1/32
q I made 12 quarts of lemonade using 1/4 quarts
so, we can write,
[12/(1/4)] = 1/x
48/1 = 1/x
x = 1/48
q I made 18 quarts of lemonade using 1/4 quarts
so, we can write,
[18/(1/4)] = 1/x
72 /1 = 1/x
x = 1/72
q I made 2 quarts of lemonade using 1/4 quarts is x = 1/8 lemonade
q I made 8 quarts of lemonade using 1/4 quarts is x = 1/32 lemonade
q I made 12 quarts of lemonade using 1/4 quarts is x = 1/48 lemonade
q I made 18 quarts of lemonade using 1/4 quarts is x = 1/72 lemonade
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Please help with finding the slope of the grpahed line
Answer:
[tex]\frac{5}{4}[/tex]
Step-by-step explanation:
To find the slope on a graph, the easiest way is to use the "rise-over-run method."
First, from the leftmost point, count how many points it takes to get to the same y-coordinate as the point.(only count UP and DOWN. If you have to go up to reach the point, the numerator is positive. Otherwise it is negative) Next, figure out how many points it takes to get to the same x-coordinate starting from where you counted up from, therefore landing on the rightmost point. (only count LEFT and RIGHT. If you have to go right to reach the point, the denominator is positive. Otherwise it is negative)
In this graph, we go up 5 and right 4. Therefore the answer is [tex]\frac{5}{4}[/tex].
(I like starting on the leftmost point first and then doing rise-over-run. You don't necessarily have to but remember, if both the numerator and denominator are negative, then the fraction is positive)
Answer:
slope: [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Slope Formula: [tex]\frac{rise}{run}[/tex]
Get a line from which you want to know the slope. Make sure that the line is straight. You can't find the slope of a line that isn't straight.Pick any two coordinates that the line goes through. Coordinates are the x and y points written as (x, y). It doesn't matter which points you pick, as long as they're different points on the same line. Pick which point's coordinates are dominant in your equation. It doesn't matter which one you pick, as long as it stays the same throughout the calculation. The dominant coordinates will be x1 and y1. The other coordinates will be x2 and y2. Set up the equation using the y-coordinates on top and the x-coordinates on bottomSubtract the two y-coordinates from one another.Subtract the two x-coordinates from one another.Divide the y-coordinate's result with the x-coordinate's result. Reduce the number if at all possible.tip:
Lines that go up from left to right are always positive numbers, even if they're fractions.Lines that go down from left to right are always negative numbers, even if they're fractions.EASIER WAY to find the slope: From the bottom dot (-1,-1) count up until you reach the line where the other dot (3,4) so this would be 5 (the RISE)
then count ACROSS (run) it until you reach the dot. This would be 4.
Answer: 5/4 is the slope of the line.
video explanation: https://youtu.be/sOnIGoPC4y4
What is the Value of Log0.5 16
The value of Log0.5 16 is -4.
Let log0.5 16 = x ⇒ 0.5x = 16 ⇒ ( 5 10 ) x = 2 × 2 × 2 × 2. ⇒ ( 1 2 ) x = 2 4. ⇒ 1 2 x = 2 4. ⇒ 2- x = 24 ⇒ - x = 4 ⇒ x = - 4.
Thus, log0.516 = - 4.
Examples of this include sound (measured in decibels), earthquakes (measured on the Richter scale), starlight brightness, and chemistry (pH balance, a measure of acidity and alkalinity). Let's examine the Richter scale, which uses a logarithmic function to determine the size of earthquakes.
Scottish mathematician John Napier (1550–1617) created logarithms in the 17th century as a tool for computation. He derived the term from the Greek words for ratio (logos) and number (arithmos).
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8 PLEASEEEEEE HELPPPPP
Find the length of each arc. Round your answers to the nearest tenth.
Based on the calculations, the length of the arc of this circle is equal to: C. 61.3 ft.
What is an arc?In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.
How to calculate the length of the arc?In Mathematics, if you want to calculate the length of an arc formed by a circle, you will divide the central angle that is subtended by the arc by 360 degrees and then multiply this fraction by the circumference of the circle.
Mathematically, the length of an arc formed by a circle is given by:
Arc length = 2πr × θ/360
Substituting the given parameters into the formula, we have;
Arc length = 2 × 3.142 × 13 × 270/360
Arc length = 61.269 ≈ 61.3 feet.
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what is the standard numeral for (6×10²) + (2×10²) + (7×10²) + (4×10²) + (9×10²) + (5×10²)
HELP PLEASEEEEEEE!!!!!!!!
Answer:
0.1764
0.2025
Step-by-step explanation:
Let x be a perfect square such that √x lies between 0.4 and 0.5
Then y = √x
Then we have the inequality
0.4 < √x < 0.5
==> 0.4 < y < 0.5
So the number x must lie between 0.4² = 0.16 and 0.5² = 0.25
So the square of any number between 0.4 an 0.5 will be a perfect square fitting the requirement
Let's take y = 0.42. Then y² = 0.42² = 0.1764
y = 0.45 gives y² = 0.2025
So two perfect squares whose square root values lie between 0.4 and 0.5 are 0.1764 and 0.2025
In fact squaring any value between 0.4 and 0.5 will provide such a number
1. Refer to g(t) = t² - 8t + 15. (a) Graph the function g on the domain -6 ≤ t ≤ 6. Be sure to label the vertex and any intercept(s).
The vertex of the function is a = 1 , b = -8 and c = 15
The intercept of the function is 15
The equation is given as
g(t) = t² - 8t + 15
The graph can be plotted with the given function,which gives us the parabolic graph and lets us keep the domain as
-6 ≤ t ≤ 6
The graph of this equation is attached.
Vertex and InterceptsThe vertex of the function can be found by comparing it with the parabolic equation.
at² + bt + c = 0
t² - 8t + 15 = g(t)
Therefore, the vertex of the function is
a = 1 , b = -8 and c = 15
The intercept can be found by taking t=0 , we get
g(0) = 0² - 8(0) + 15
Therefore, the intercept of the function is 15
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Twice the difference of a number and 9 is equal to three times the sum of the number and 6. Find the number
After modelling the mathematical statement and solving its equivalent mathematical relation, we get x = -36.
What is Equation Modelling?Equation modelling is the process of writing a given mathematical statement in the form of a numeric mathematical expression taking into considerations the operations, constants and other variables.
Given in the question is a number such that twice the difference of a number and 9 is equal to three times the sum of the number and 6.
Assume that the number is x. Now, we will model the equation and solve for x. According to the question, the following mathematical relation represents the statement-
2(x - 9) = 3(x + 6)
2x - 18 = 3x + 18
x = - 36
Therefore, the number is -36.
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what is equivalent to y^-4/3
The answer is C.....................
Select the correct answer. Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x − 13? A. It is the graph of y = x translated 13 units to the left. B. It is the graph of y = x where the slope is decreased by 13. C. It is the graph of y = x translated 13 units to the right. D. It is the graph of y = x translated 13 units up.
The correct statement for y = x - 13 is C. It is the graph of y = x translated 13 units to the right to the parent function y = x.
What is a function?A function can be thought of as output for the given or specified set of inputs.
Given a parent function y = x and it is a linear function and also reflexive.
The function y = x - 13 implies
x - 13 = 0 or x = 13.
∴ The graph of the function y = x - 13 will shift to the right along the x-axis by 13 units to the right. This is also known as translation.
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Answer:The correct statement for y = x - 13 is C. It is the graph of y = x translated 13 units to the right to the parent function y = x.
Step-by-step explanation:
What is a function?
A function can be thought of as output for the given or specified set of inputs.
Given a parent function y = x and it is a linear function and also reflexive.
The function y = x - 13 implies
x - 13 = 0 or x = 13.
∴ The graph of the function y = x - 13 will shift to the right along the x-axis by 13 units to the right. This is also known as translation.
65 POINTS!!!!!
Factor each expression. If it cannot be factored, write “prime.”
9. 4x-16
10. 18k+42
11. 16r-25
12. 20m-8n
Answer:
all of them are prime.
Step-by-step explanation:
Answer:
9. 4(x -4)
10, 6 (3k + 7)
11. Prime
12. 4(5m -2n)
Step-by-step explanation:
A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x -3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.
Which statement best describes the depth of the fish, given this equation?
(A) From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.
(B) From starting position of 7 meters below sea level, the fish is ascending 3 meters per second.
(C) From a starting position of 3 meters below sea level, the fish is descending 7 meters per second
(D) From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.
Answer:
C
Step-by-step explanation:
at starting time x = 0 the fish is at -3 meters
for each second the fish goes another -7 meters
Please help!!
Match each of the following expressions on the left with the terms on the right.
The expressions matched with their corresponding simplified expressions are
(5⁻⁹)⁴ → 1/5³⁶
5⁹/5⁴ → 5⁵
5⁴ × 5⁹ → 5¹³
(5⁴)⁹ → 5³⁶
5⁻⁹/5⁴ → 5⁻¹³
From the question, we are to match each of the given expressions on the left with the terms of the right
First, we will simplify each of the expressions
(5⁻⁹)⁴Multiplying the exponents
5⁻⁹ˣ⁴
= 5⁻³⁶
= 1/5³⁶
5⁹/5⁴Applying the division law of indices
5⁹/5⁴ = 5⁹⁻⁴
= 5⁵
5⁴ × 5⁹Applying the multiplication law of exponents
5⁴ × 5⁹ = 5⁴⁺⁹
= 5¹³
(5⁴)⁹Multiplying the exponents
5⁴ˣ⁹
= 5³⁶
5⁻⁹/5⁴Applying the division law of indices,
5⁻⁹⁻⁴
= 5⁻¹³
Hence, the expressions matched with their corresponding simplified expressions is
(5⁻⁹)⁴ → 1/5³⁶
5⁹/5⁴ → 5⁵
5⁴ × 5⁹ → 5¹³
(5⁴)⁹ → 5³⁶
5⁻⁹/5⁴ → 5⁻¹³
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5 + 3 - 2 = 8 - 2 please solve
Answer:
6
Step-by-step explanation:
5+3−2
=8−2
=6
---------
if 60 men do a piece of work in 27 days, then in how many days can 18 men do the same work?
if 60 men do a piece of work in 27 days, then 18 men can do the same work in 90 days.
What is unitary method?The unitary approach is a strategy for problem-solving that involves the first determining the value of a single unit, then multiplying that value to determine the required value.
Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. In the aforementioned issue, the number of apples is known, but it is unclear what they are worth. It should be highlighted that issues with this method are solved using the concepts of ratio and proportion.
From the unitary method:
Number of days required to complete a work by 60 men = 27 days
Number of days required to complete a work by 1 man = 27*60
Number of days required to complete a work by 18 men = [tex]\frac{27*60}{18}[/tex]= 90days
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