Evaluate the expression below using the properties of operations. Show your steps to receive full credit. −36 ÷ 14 ⋅ (−18) ⋅ (−3) ÷ 6
Answers
Answer:
(-162)/7 or -23 1/7 as a mixed fraction
Step-by-step explanation:
Simplify the following:
(-36)/14 (-18) (-3)/6
Hint: | Express (-36)/14 (-18) (-3)/6 as a single fraction.
(-36)/14 (-18) (-3)/6 = (-36 (-18) (-3))/(14×6):
(-36 (-18) (-3))/(14×6)
Hint: | In (-36 (-18) (-3))/(14×6), divide -18 in the numerator by 6 in the denominator.
(-18)/6 = (6 (-3))/6 = -3:
(-36-3 (-3))/14
Hint: | In (-36 (-3) (-3))/14, the numbers -36 in the numerator and 14 in the denominator have gcd greater than one.
The gcd of -36 and 14 is 2, so (-36 (-3) (-3))/14 = ((2 (-18)) (-3) (-3))/(2×7) = 2/2×(-18 (-3) (-3))/7 = (-18 (-3) (-3))/7:
(-18 (-3) (-3))/7
Hint: | Multiply -18 and -3 together.
-18 (-3) = 54:
(54 (-3))/7
Hint: | Multiply 54 and -3 together.
54 (-3) = -162:
Answer: (-162)/7
Related Questions
H i there what is the answer for this
Answers
Answer:
t = 56 degree
Step-by-step explanation:
A triangle is 180 degrees.
The angle on the right is a vertical angle to the 34-degree angle, meaning their angles are equal.
We know two angles; one is 90 degrees, and the other is 34 degrees. To find the angle t, we take
180 - 90 - 34 = 56 degree
So, t = 56 degree
please help me answer this question asap
Answers
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
Solve for x. Round to the nearest tenth.
Answers
Answer:
22.8
Step-by-step explanation:
\(a^{2} +b^{2} =c^{2} \\20^{2} +11^{2} =x^{2} \\400+121=x^{2}\\\sqrt{521} =x\\\\or\\\\22.8 = x\)
Which graph shows the greatest integer function?
Answers
The graph of the greatest integer function is graph A.
What is graph?A graph is a diagram or a pictorial representation of data or values that show the relationship between quantities or objects.
Given are graphs we need to find the graph of the greatest integer function,
The graph of the greatest integer function is graph A because since it is a greatest integer function, it includes the highest integer, but excludes the lowest since it is the highest integer when x is less than or equal to an integer but greater than x-1.
Hence the graph of the greatest integer function is graph A.
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A planet rotates through one complete revolution every 17 hours. Since the axis of rotation is perpendicular to the equator, you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 17 hours. Find the angular velocity of a person standing on the equator.
Answers
The angular velocity of a person standing on the equator is ω = 1.026 × 10⁻⁴ rad/s
What is angular velocity?Angular velocity is the number of revolution per second of an object.
How to find the angular velocity of a person standing on the equator?Since a planet rotates through one complete revolution every 17 hours and since the axis of rotation is perpendicular to the equator, you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 17 hours. We thus require its angular velocity.
The angular velocity is given by ω = 2π/T where T = period of revolution
Since the planet rotates through one complete revolution every 17 hours, its period, T = 17 hours = 17 h × 60 min/h × 60 s/min = 61200 s
So, substituting the period into the equation for the angular velocity, we have
ω = 2π/T
ω = 2π/61200 s
ω = π/30600 s
ω = 0.0001026 rad/s
ω = 1.026 × 10⁻⁴ rad/s
So, the angular velocity is ω = 1.026 × 10⁻⁴ rad/s
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Does this polynomial have a GCF greater than 1?
Answers
You didn't include a picture/ diagram
What is the formula for calculating the slope m of a line?
Answers
The formula or equation used to determine the slope of a straight line is as follows:
m = (Y₂-Y₁)/(X₂-X₁)
What is an equation?An equation is about two expressions, either arithmetic or algebraic, that are related with a "=" sign that indicates equality of expressions.
Equations can be graphed, they are used to model many problems and theories.
The straight lines are characterized by a finite succession of points, when they have an inclination they adopt a slope value different from 0, and to determine that slope it is necessary to know two points of the line and use the following equation:
m = (Y₂-Y₁)/(X₂-X₁)
Where the points are:
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A leaking faucet was found in one of the labs in S\&E building. If a faucet is dripping at a rate of one drop per second and each drop contains 0.150 milliliters, calculate how much water (in liters) will be lost in one year.
Answers
A leaking faucet in the S&E building lab, dripping at a rate of one drop per second, will result in a water loss of approximately 4,725 liters in one year.
To calculate the amount of water lost in one year, we need to determine the number of drops per year and then convert it to liters. Since the faucet drips at a rate of one drop per second, there are 60 drops in a minute (60 seconds), which totals to 3,600 drops in an hour (60 minutes).
In a day, there would be 86,400 drops (24 hours * 3,600 drops). Considering a year of 365 days, the total number of drops would be approximately 31,536,000 drops (86,400 drops * 365 days). To convert the number of drops to liters, we need to multiply the total number of drops by the volume of each drop.
Given that each drop contains 0.150 milliliters, we convert it to liters by dividing by 1,000, resulting in 0.00015 liters per drop. Multiplying the total number of drops by the volume per drop, we find that the total water loss is approximately 4,725 liters (31,536,000 drops * 0.00015 liters/drop).
Therefore, in one year, the leaking faucet in the S&E building lab would result in a water loss of approximately 4,725 liters.
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some come in clutch and do this for me
Answers
Answer:
68cm²Step-by-step explanation:
The total surface area of the bite= total surface area of the sphere + total surface area of the rectangular prism
Total surface area of a sphere Ss = 4πr²
r = radius of the sphere = diameter/2
Given diameter of the sphere= 3cm; r = 3/2 cm
Ss = 4π(3/2)²
Ss = 4π*9/4
Ss = 9πcm²
For the rectangular prism
Total surface area Sr = 2WL + 2LH + 2HW
W = width of the prism
L = length of the prism
H = height of the prism
Given W = 4cm, L = 4cm, H = 0.5cm
Sr = 2(4)(4) + 2(4)(0.5) + 2(0.5)(4)
Sr = 32+4+4
Sr = 40cm²
Surface area of the bite = 9π + 40
Surface area of the bite = 68.27cm²
Surface area of the bite = 68cm² (to nearest square of a centimetre)
The graph h shows the height, in meters, of a rocket t seconds after it was launched
Answers
a) H0 = 15 m, is the initial height, the height of the rocket at time 0 s.
b) D = [0,5]
c) R = [0,35]
What is a domain?The set of inputs that a function will accept is known as the domain of the function in mathematics. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Here, we have
a) H0 is the initial height. It means the height of the rocket at time 0 s.
This value is 15 m.
b) The domain is all values of t between 0 and 5 seconds.
D = [0,5]
c) The range is all values of height from 0 to 35 meters.
R = [0,35]
Hence, a) H0 = 15 m, is the initial height, the height of the rocket at time 0 s.
b) D = [0,5]
c) R = [0,35]
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Complete question is: The graph H shows the height, in meters, of a rocket 1 seconds after it was launched.
a. Find H0). What does this value
represent?
b. Describe the domain of this function.
c. Describe the range of this function.
Answer:
Step-by-step explanation:
.
Factor the polynomial as a perfect square or state that it is irreducible. x2 - 15x +225 irreducible (x+15)(x - 15) (x+15)2 (x - 15)²
Answers
The polynomial x^2 - 15x + 225 can be factored as a perfect square. It factors as (x - 15)^2.
To determine if the polynomial x^2 - 15x + 225 can be factored as a perfect square, we need to check if the quadratic term and the constant term are perfect squares and if the middle term is twice \product of the square roots of the quadratic and constant terms.
In this case, the quadratic term x^2 is a perfect square of x, and the constant term 225 is a perfect square of 15. The middle term -15x is also twice the product of the square roots of x^2 and 225.
Therefore, we can factor the polynomial as a perfect square: (x - 15)^2. This indicates that the polynomial can be written as the square of a binomial, (x - 15), and is not irreducible.
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Using Chapter 10 Data: If you conclude to reject H0, the error(s) you may be making is(are) _________.
Answers
Given statement solution is :- If you conclude to reject the null hypothesis (H0), there are two possible errors you may be making: Type I Error,
Type II Error. It's important to note that these errors are inherent in hypothesis testing and are not necessarily indicative of mistakes or negligence on the part of the researcher. The goal is to minimize both types of errors, but there is typically a trade-off between them.
If you conclude to reject the null hypothesis (H0), there are two possible errors you may be making:
Type I Error: This occurs when you reject the null hypothesis even though it is true. In other words, you conclude that there is a significant effect or relationship when, in fact, there is no such effect or relationship in the population. The probability of making a Type I error is denoted by the significance level (usually denoted as α), and it is typically set before conducting the hypothesis test.
Type II Error: This occurs when you fail to reject the null hypothesis even though it is false. In other words, you fail to identify a significant effect or relationship that actually exists in the population. The probability of making a Type II error is denoted by β, and it is related to the power of the test (1 - β).
It's important to note that these errors are inherent in hypothesis testing and are not necessarily indicative of mistakes or negligence on the part of the researcher. The goal is to minimize both types of errors, but there is typically a trade-off between them.
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Assignment is due tonight!!!! Please help
Erik and Nita are playing a game with numbers. In the game, they each think of a random number from 0 to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers is greater than 10, then Nita wins. Use the information in the interactive and what you know about absolute value inequalities to better understand the game.
Answers
The inequality for Erik to win is
|x- y| ≤ 10
And for Nita to win
|x- y| ≥ 10
What is Inequality ?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Inequalities define the connection between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than. The different inequality symbols, characteristics, and methods for resolving linear inequalities in one variable and two variables will all be covered in this article along with examples.
In the problem let the number chosen by Erik and Nita be x and y respectively .
here both x,y ≤ 20
so the inequality for Erik to win is
|x- y| ≤ 10
And for Nita to win
|x- y| ≥ 10
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in how many ways can we arrange a standard deck of 52 cards so that all cards in a given suit appear contiguously (e.g., first all the spades appear, then all the diamonds, then all the hearts, and then all the clubs)?
Answers
There are 71,536,320 ways to arrange a standard deck of 52 cards so that all cards in a given suit appear contiguously.
There are 4 suits in a standard deck of 52 cards, and we need to arrange all the cards in a given suit contiguously. Once we choose a suit to be arranged in this way, we can treat it as a block of 13 cards that need to be arranged. Therefore, we have reduced the problem to arranging 4 blocks of 13 cards each, where each block represents a suit.
Within each suit, there are 13! ways to arrange the cards. However, once we arrange the cards in one suit, we fix the relative positions of the cards in the other suits. Therefore, we only need to consider the number of ways to arrange the suits themselves.
There are 4! = 24 ways to arrange the 4 suits. For each of these arrangements, there is only one way to arrange the cards within each suit contiguously. Therefore, the total number of ways to arrange the deck of cards so that all cards in a given suit appear contiguously is:
13! x 24 = 71,536,320
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give me an example of an inequality statement with both Pi and 3.14
Answers
Answer:
\(pi > 2\\3.14 > 3.1\)
Hope this helps, have a great day! ♣
Let x be the number of years since 1998, let g(x) be the average monthly bill (in dollars) for mobile phone users in the United States, and let h(x) be the average number of minutes used by U.S. mobile phone users. Then g(x) and h(x) are as given g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4, h(x) = -8.25x³ + 53.1x² - 7.82x + 138 Write a rational function ƒ(x) that gives the average price per minute x years after 1998.
Answers
The rational function ƒ(x) that represents the average price per minute x years after 1998 is given by ƒ(x) = g(x) / h(x), where g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4 and h(x) = -8.25x³ + 53.1x² - 7.82x + 138.
To calculate the average price per minute x years after 1998, we need to find the ratio between the average monthly bill (g(x)) and the average number of minutes used (h(x)). Therefore, the rational function ƒ(x) is defined as ƒ(x) = g(x) / h(x).
Given that g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4 and h(x) = -8.25x³ + 53.1x² - 7.82x + 138, we can substitute these expressions into the rational function to obtain the final formula: ƒ(x) = (-0.27x³ + 1.40x² + 1.05x + 39.4) / (-8.25x³ + 53.1x² - 7.82x + 138).
This rational function represents the average price per minute x years after 1998 based on the given average monthly bill and average number of minutes used by U.S. mobile phone users. By plugging in different values for x, you can evaluate the function and obtain the corresponding average price per minute for each year.
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The radius of the front wheel of paul's bike is 59cm. paul goes for a cycle and travels 47.32km. how many full revolutions did paul's front wheel complete?
Answers
Paul's front wheel completed approximately 2007 full revolutions during his cycle ride.
To determine the number of full revolutions Paul's front wheel completed, we need to convert the distance traveled from kilometers to the circumference of the wheel.
The circumference of a circle can be calculated using the formula: circumference = 2πr, where r is the radius of the circle.
Given that the radius of Paul's front wheel is 59 cm, we can convert it to meters by dividing by 100: r = 59 cm / 100 = 0.59 m.
Now, let's convert the distance traveled from kilometers to meters: 47.32 km = 47.32 × 1000 m = 47,320 m.
To find the number of full revolutions, we divide the total distance traveled by the circumference of the wheel:
Number of full revolutions = Total distance traveled / Circumference of the wheel
Number of full revolutions = 47,320 m / (2π × 0.59 m)
Simplifying this calculation, we have:
Number of full revolutions ≈ 47,320 / (2π × 0.59)
Number of full revolutions ≈ 2007
Therefore, Paul's front wheel completed approximately 2007 full revolutions during his cycle ride.
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Find the value of the polynomial 7y - y2 + 5 at y = -1.
Answers
Answer:
-2
Step-by-step explanation:
first replace all ys with -1. it should be= -7+5= -2
a homeowner has budgeted $10,000 for some home remodeling. a contractor has told him the labor and the cost of materials will be about the same amount. the homeowner wants to have about $3,000 left over for furnishings. how much will the homeowner be able to spend on labor and on materials?
Answers
Answer:
$3,500 labor and $3,500 materials
Step-by-step explanation:
furnishings + labor + materials = 10,000
furnishings = 3000
3000 + labor + materials = 10,000
labor = materials
3000 + labor + labor = 10,000
2(labor) = 7,000
labor = 7,000/2
labor = 3,500
labor = materials = 3,500
There are 80 little league teams. Thirty percent of them have players under the age of 7. How many teams have players under the age of 7?
Answers
Answer: 24
Step-by-step explanation:
We can use just multiply, and because 30% is .3, we do:
80 x .3 = 24
There we go!
Answer:
24
Step-by-step explanation:
80 is the total amount of teams
30% of 80 would give you the answer
So, 80 x 0.3 = 24
(30% is 0.3 in decimal form)
What is 5x-2+7x-5 simplified?
Answers
Answer:
12x -7
Step-by-step explanation:
What is radical 25x^2y^2 / radicalxy in simplest form? Assume x greater than or equal to 0 and y is greater than or equal to 0
Answers
Answer: A
Step-by-step explanation:
Answer:
5 sqrt xy
Step-by-step explanation:
Edge 2020
What is the area of the circle? (Approximate using π = 3.14) circle with a segment drawn from one point on the circle to another point on the circle through the center of the circle labeled 6 feet
9.42 ft2
18.84 ft2
28.26 ft2
113.04 ft2
Answers
The answer is (C) 28.26 ft²
According to given information :To solve the problem, we need to find the radius of the circle, which is half of the length of the segment through the center. Since the length of the segment is 6 feet, the radius is 6/2 = 3 feet.
The area of a circle is given by the formula A = πr², where r is the radius. Substituting the value of the radius, we get:
A = π(3)² = 9π ≈ 28.26 square feet
Rounding to two decimal places, the approximate area of the circle is 28.26 ft^2.
Therefore, the answer is (C) 28.26 ft²
What is the area of the circle?The area of a circle is the amount of space inside the boundary of a circle. It is defined as the product of the square of the radius (r) and the constant pi (π), which is approximately 3.14. The formula for the area of a circle is:
Area = πr^2
Where r is the radius of the circle. The radius is the distance from the center of the circle to any point on the circle's circumference.
The formula shows that the area of a circle is proportional to the square of its radius. This means that if the radius is doubled, the area of the circle will be quadrupled, and if the radius is halved, the area will be reduced to one-fourth.
The area of a circle is often used in geometry and other areas of mathematics, as well as in real-life applications such as calculating the area of a circular garden, a circular swimming pool, or the surface area of a cylinder or sphere.
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Solve for s.
72=27+9s
How do you solve for s?
Answers
Answer:
s=5
Step-by-step explanation:
Answer:
S = 5
Step-by-step explanation:
Subtract 27 from both sides
45 = 9s
divide by 9
s = 5
How does changing the sign of the constant a from positive to negative affect the domain and range of f(x) = a|x|?
Answers
When changing the sign of the constant a from positive to negative, the domain remains the same. But the range changes.
A function's range is the set of all values it can accept, whereas its domain is the set of all values for which it is defined.
Consider the given function f(x)=a|x|. Let us consider "a" takes positive values that is \(a\geq0\). Then, the given function is defined as follows,
\(f(x)=\begin{cases}a(x)=ax}\; &x\geq0\\{a(-x)=-ax\;&x < 0\end{cases}\)
Then, the domain will be \(\text{domain}=\mathbb{R}\{(-\infty, \infty)\) and the range will be given as \(\text{Range} = \text{only non-negative real numbers} = \mathbb{R}^++\{0\}\).
Now let us consider "a" takes negative values that is a<0. Then, the given function is defined the same and the domain will remain the same. But the range will be given as \(\text{Range} = \text{only negative real numbers} = \mathbb{R}^-+\{0\}\).
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Find the exact values of the six trigonometric functions functions of the angles 0 shown in the figure. Sin, cos, tan, csc, sec and cot (Use the pythagorean theorem to find the third side of the triangle)
Answers
Answer:
\(undefined\)Explanation:
Let x represent the length of the third side of the given triangle.
We can go ahead and determine the value of x using the Pythagorean theorem as seen below;
\(\begin{gathered} 41^2=x^2+40^2 \\ 1681=x^2+1600 \\ x^2=1681-1600 \\ x^2=81 \\ x=\sqrt[]{81} \\ x=9 \end{gathered}\)So the length of the third side of the triangle is 9
We can now determine the value of sine theta as seen below;
\(\begin{gathered} \sin \theta=\frac{opposite\text{ side to angle }\theta\text{ }}{\text{hypotenuse}}=\frac{40}{41} \\ \therefore\sin \theta=\frac{40}{41} \end{gathered}\)We can see that sine theta is 40/41
Let's determine the value of cosine theta as seen below;
\(\begin{gathered} \cos \theta=\frac{\text{adjacent side to angle }\theta}{\text{hypotenuse}}=\frac{9}{41} \\ \therefore\cos \theta=\frac{9}{41} \end{gathered}\)So cosine theta is 9/41
Let's determine the value of tangent theta as seen below;
\(\begin{gathered} \tan \theta=\frac{opposite\text{ side to angle }\theta}{\text{adjacent side to angle }\theta}=\frac{40}{9} \\ \tan \theta=\frac{40}{9} \end{gathered}\)So tangent theta is 40/9
Let's now determine the value of cosecant theta as seen below;
\(\begin{gathered} \csc \theta=\frac{1}{\sin\theta}=\frac{1}{\frac{40}{41}}=1\div\frac{40}{41}=1\times\frac{41}{40}=\frac{41}{40} \\ \therefore\csc \theta=\frac{41}{40} \end{gathered}\)So the value of cosecant theta is 41/40
Let's determine the value of secant theta as seen below;
\(\begin{gathered} \sec \theta=\frac{1}{\cos\theta}=\frac{1}{\frac{9}{41}}=1\div\frac{9}{41}=1\times\frac{41}{9}=\frac{41}{9} \\ \therefore\sec \theta=\frac{41}{9} \end{gathered}\)So the value of secant theta is 41/9
Let's determine the value of cotangent theta as seen below;
\(\begin{gathered} \cot x=\frac{1}{\tan x}=\frac{1}{\frac{40}{9}}=1\div\frac{40}{9}=1\times\frac{9}{40}=\frac{9}{40} \\ \cot x=\frac{9}{40} \end{gathered}\)So the value of cotangent theta is 9/40
what’s equivalent to six to the negative power of two
Answers
The expression which is equivalent to; six to the negative power of two as given in the task content is; 1 / 36.
Which expression is equivalent to six to the negative power of two?It follows from the task content that the expression which is equivalent to six to the negative power of two is to be determined.
Since the given word phrase can be expressed as; 6^-²; it follows from the laws of indices that we have;
= (1 / 6)²
= 1² / 6²
= 1/36.
Ultimately, the equivalent expression is; 1 / 36.
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Which expression equals 9/10 ?
O 5√10+4√10
O5 10+4 10
O 5√10+43/10
O 5 10+4 10
Answers
Answer:
The second answer:
5cubrt10 + 4cubrt10
Step-by-step explanation:
In order to get a cubrt10 answer you have to add cubrt10's.
The first answer has squareroots, so that's a no.
The last two have cubrt + sqrt, which cannot be simplified.
5cubrt10 + 4cubrt10 = 9cubrt10
can someone write this in standard form -7-3x=9x(x+2)
Answers
Standard Form:
-9x^2 - 21x - 7 = 0
Answer: -9x ² -21x -7 = 0
Step-by-step explanation:
plz help me help me i need help badly
Answers
Answer:
The answer is D
Step-by-step explanation: