The required quotient of the given expression -1/8 × 2/3 is given as -1/12.
What is simplification?The procedure in mathematics to work and crack the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
= -1/8 × 2/3
= -1/ [4×3]
= -1/12
Thus, the needed quotient of the given expression -1/8 × 2/3] is given as -1/12.
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Write the slope-intercept form of the equation of each line given the slope and y-intercept.
slope= - 3/4 y intercept=-4
Answer:
Below
Step-by-step explanation:
Slope-intercept form of a line is y = mx + b m is slope b is intercept
so it is just y = -3/4 x -4
Which angle has a vertex on the center of the circle and sides that are radii of that circle?
Answer:
central angle
Step-by-step explanation:
an angle with a vertex on the center of a circle and slides that are radii of that circle is called a central angle
Central angle has a vertex on the center of the circle and sides that are radii of that circle .
What does central angle mean?
A right angle, which has sides that are the radii of the circle, and a vertex that is at the center of the circle Given that it intercepts an arc with a length equal to the circle's radius, a central angle has radian measure [Math Processing Error].
Where can I find the center angle?
The angle that the arc at the center of a circle occupies is known as the central angle. The arms of the angle are created by the radius vectors. The formula for calculating a central angle is: Central Angle = Arc length(AB) / Radius(OA) = (s 360°) / 2r, where s denotes the length of the arc and r denotes the radius of the circle.
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what is the linear regression equation? (round your answers to three decimal places.) estimated tip amount
The linear regression equation for estimating tip amount is y = 0.174x + 1.971, where x is the total bill amount and y is the estimated tip amount.
First, collect data by having participants record the total bill amount and the amount of tip they gave.Next, calculate the linear regression equation by plotting the data points on a scatter plot and fitting a line of best fit.Once the line of best fit has been determined, calculate the equation of the line using the slope-intercept form.Finally, round the values of the equation to three decimal places, and the linear regression equation for estimating tip amount is y = 0.174x + 1.971, where x is the total bill amount and y is the estimated tip amount.Learn more about linear regression equation: https://brainly.com/question/25987747
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(Need help asap) Richie and Saul are conducting a survey on the most popular board games played by students at their high school. Richie interviews 25 boys from grades 9 through 12 and concludes that card games are the most popular among high school students. Saul speaks with 20 students, including girls and boys, from grades 9 through 12 and concludes that word games are the most popular among high school students. Whose generalization is valid? Why?
Answer: I’d say that Saul’s generalization is more valid because even though he interviewed less people, he interviewed girls as well as boys, and Richie only interviewed the boys.
Answer:Given that Saul spoke with both boys and females, his generalization is accurate
Step-by-step explanation:?A generalization is a kind of abstraction where the general traits of specific cases are articulated as overarching concepts or claims. Generalizations presuppose a domain or collection of elements, as well as one or more shared characteristics.Why is being general useful?Generalization is the capacity to do an action, engage in an activity, or display a behavior in a variety of situations, with a variety of people, and at a variety of times. Our ability to complete routine tasks in a variety of contexts and settings is due to the fact that we have "generalized" the necessary skills.
What does a Right-Skewed Histogram Mean?
A right-skewed histogram has a peak that is left of center and a more gradual tapering to the right side of the graph. This is a unimodal data set, with the mode closer to the left of the graph and smaller than either the mean or the median.
Define Right-Skewed Histogram?A right-skewed histogram is one in which the majority of the data falls to the right of the graph's peak.The mean, median, and mode of a right-skewed histogram have a definite relationship, which can be written as mean > median > mode.The right side of a right-skewed distribution is longer than the left. Positive skew is another name for right skew. Skewness can be thought of as tails. A distribution's tail is the long, tapering end of the distribution.A "skewed right" distribution has the tail on the right side. Right skewed: The mean is greater than the median. Left skewed: The mean is less than the median.To learn more about Right-Skewed Histogram refer to:
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n+9 over 9. n equals what?
The value of N equals to -9.
What is Algebra?
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
n+9/9=0
Now,
n+9/9=0
n+9=0
n=-9
Therefore, the answer of this algebra will be -9.
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A pet store had four cats to feed if they only had 1/9 of a bag of cat food and each cat got the same amount what fraction of the bag would each cat get
Answer:
If the pet store had 1/9 of a bag of cat food, and they want to divide it equally between 4 cats, then each cat would get 1/9 of the bag divided by 4.
So, each cat would get:
1/9 ÷ 4 = 1/9 * 1/4 = 1/36
So, each cat would get 1/36 of the bag of cat food.
Describe the pattern that you see. In your description, include the shapes that create the pattern. You can also mention colors. What is the first term (how does the pattern start)? How does the pattern change with each term? What would the next term in the sequence (pattern) be?
which is the best deal? why?
Step-by-step explanation:
12/10.1
16.85/13
21.61/15
The best way, in my opinion, is to divide each price by it's respective inches. Doing that you will see the cost per inch. the cheapest one is the best deal.
[tex]small = \frac{12}{10.1} = 1.19[/tex]
[tex]medium = \frac{16.85}{13} = 1.30[/tex]
[tex]large = \frac{21.61}{15} = 1.44[/tex]
Seeing these 3, the cheapest was $1.19, making the small pizza the best deal because you get the best price per inch
Evaluate x + 2x - 4 if x = −4.
12
A.
B. 4
C. -8
D. -28
Answer:
C. - 8
Step-by-step explanation:
substitute - 4 for x value
-4 + (2×-4) - (-4)
= -4 + (-8) + 4
= -12 +4
= -8
Find the scale factor of Figure A to Figure B.
A- 5:9
B- 7:18
C- 9:5
D- 18:7
The scale of figure A to Figure B is given by 9 : 5 and option C is the correct answer.
What is scale factor?Shapes in various dimensions can be scaled using the Scale Factor. In geometry, we study many geometrical forms that exist in both two- and three-dimensions. The scale factor is a way to compare figures with similar appearances but differing scales or measurements. Consider two circles that resemble one another but may have different radii.
The scaling factor indicates how much a figure has increased or decreased from its initial value.
The scale of figure A to Figure B is given by:
Scale factor = Segment of figure A / segment of figure B
SF = 36 / 20
SF = 9 / 5
Hence, the scale of figure A to Figure B is given by 9 : 5 and option C is the correct answer.
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consider the points a(0,3,−5), b(3,−5,0) and c(3,0,−5). find the exact distance from a to the line passing through b and c.
The distance from a to the line passing through b and c is 7/5.
To find the distance from a point to a line, you can use the cross product and the dot product.
First, find the vector pointing from a to b and the vector pointing from b to c:
u = b - a = (3, -5, 0) - (0, 3, -5) = (3, -8, 5)
v = c - b = (3, 0, -5) - (3, -5, 0) = (0, 5, -5)
Next, find the cross product of these two vectors, which gives a vector orthogonal to the plane defined by the line:
n = u x v = (-40, 0, 40)
Finally, find the dot product of n and a - b, which gives the magnitude of the projection of a - b onto n:
d = |n . (a - b)| / |n| = |(-40, 0, 40) . (-3, -8, -5)| / |(-40, 0, 40)| = 57 / √(40^2 + 40^2) = 57 / √1600 = 57 / 40 = 7/5
Therefore, the distance from a to the line passing through b and c is 7/5.
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1. Simplify using only positive exponents:
(2t)^-6
(2t)^-6 = 1/(2t)^6 is expression of only positive exponents.
What is an exponent in math?
An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.
here, we have,
the given expression is, (2t)^-6.
Now,
To simplify this using only positive exponents we are going to use the rule for negative exponents: b^(-n) = 1/b^n .
Notice that in this case :
b= 2t
so, we get,
(2t)^-6 = 1/(2t)^6
Hence, (2t)^-6 = 1/(2t)^6 is expression of only positive exponents.
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Which of these is a mathematical expression?
A
B
4 - 3r
C
4 - 3r = 1
D
"Happily ever after"
PLEASE HELP ITS ON A QUIZ AND ITS DUE IN TEN MINUETS
Answer:
B) 4 - 3r
Step-by-step explanation:
B. 4 - 3r is the mathematical expression.
What is the 3 period moving average forecast for week 6?
7000 is the 3 period moving average forecast for week 6.
What is average forecast?Using a moving average, a data set's general trend may be determined. The sales volume from the company's historical data is the data set used in operations management. For predicting recent trends, this method is quite helpful. Simply said, it is the average across a range of times.
The most basic method for predicting is a simple moving average (SMA). The data from the previous 'n' periods are added up, and the sum is divided by 'n' to create a simple moving average. So the projection for the following period is based on the moving average value.
3-period weighted moving forecast for week 6:
= (Demand for Period 3 + Demand for Period 4 + Demand for Period 5) / 3 = (8000 + 7000 + 6000) / 3
= 7000
3-period weighted moving forecast for week 6 = 7000
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The complete question is as follows:
For the vectors u = (-4,-1) and v= (1,3), express u as the sum u=p+n, where p is parallel to v and n is orthogonal to v. + 7 21 33 11 u=p+n= 10 10 10 10
For the given vectors the sum of u is (-44/10,-6/10).
Vectors are mathematical objects that have both magnitude and direction.
The projection of u onto v is equal to the dot product of u and the unit vector of v divided by the magnitude of v.
The unit vector of v can be found by dividing v by its magnitude. Once we have the unit vector, we can multiply it by the dot product and add it to the initial point of v to find p.
Since u = (-4,-1) and v = (1,3), the magnitude of v is √(1^2 + 3^2) = √10 and the unit vector of v is (1/√10, 3/√10).
The dot product of u and the unit vector of v is
=> (-4)(1/√10) + (-1)(3/√10)
=> -4/√10 - 3/√10.
Thus,
=> p = (-4/√10 - 3/√10)(1/√10, 3/√10) + (1,3)
=> p = (-4/10 - 3/10, -1/10 + 3/10) + (1,3)
=> p = (7/10 + 3/10, 2/10 + 3/10) = (10/10, 5/10).
To find n vector, we subtract p from u.
Finally,
=> n = u - p = (-4,-1) - (10/10, 5/10)
=> (-4 - 10/10, -1 - 5/10) = (-44/10,-6/10).
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What is 1 gallon equal to in Litres?
1 gallon equal to 3.785411784 liter.
What is gallon?The gallon is a unit of volume in imperial units and United States customary units. Three different versions are in current use:
The imperial gallon (imp gal), defined as 4.54609 litres, which is or was used in the United Kingdom, Ireland, Canada, Australia, New Zealand and some Caribbean countries.
The US gallon (US gal), defined as 3.785411784 L, (231 cubic inches) which is used in the US and some latin American and Caribbean countries.
The US dry gallon ("usdrygal"), defined as 1/8 US bushel (exactly 4.4.0388377086 L)
By using the above formula to convert US gallons to litres.
Solution: Inserting the value of a gallon in the above formula we will get:
Litre =1×3.785411784 =3.785411784
Hence 1 gallons are equal to 3.785411784 liter.
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Find the indicated measure.
Answer:
12: A = 40 and C = 32
13: A = 45 , C=72 and D=72
Step-by-step explanation:
Angles inscribed by the same arc are equal.
A triangle ha a 60 degree angle, and the two adjacent ide are 12 and 12 root 3. Find the radiu of a circle with the ame vertex a a center, if the arc inide the triangle divide it into two region of equal area
The radius of the circle with the same vertex is 6 and the height of the triangle is 10.39 and the area of the triangle is 62.34.
Since the arc divides the triangle into two regions of equal area, it follows that half of the circle's area is equal to the area of the triangle. The area of a triangle with sides 12 and 12√3 and a 60-degree angle can be found using the formula for the area of a triangle, which is 0.5bh.
The height of the triangle can be found using trigonometry, as the sine of 60 degrees is 0.8660. Thus, the height of the triangle is 10.39 and the area of the triangle is 62.34.
Since half of the circle's area is equal to the area of the triangle, the radius of the circle can be found by taking the square root of the area of the triangle and dividing it by pi. Thus, the radius of the circle is 6.
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A triangle has a 60-degree angle, and the two adjacent ide are 12 and 12 roots 3. Find the radius of a circle with the same vertex a center, if the arc inside the triangle divides it into two regions of equal area
a plane inclined at an angle of 45∘ passes through a diameter of the base of a cylinder of radius r.
When a plane is inclined at a 45-degree angle and intersects a cylinder's base along its diameter with radius "r," it results in the division of the cylinder into two identical right circular cones.
Imagine a cylinder with a radius "r."
The plane passes through the cylinder's base, creating a line that bisects the circular base into two equal halves.
This intersection between the inclined plane and the cylinder forms a cross-section that resembles an isosceles right triangle.
By symmetrically splitting the cylinder along its central axis, the inclined plane generates two congruent right circular cones, each with a 45-degree angle at its apex. The curved line formed by the intersection represents the boundary between the two cone halves.
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The value of a computer is $1200. It loses 20% of its value every year. How much will the computer be worth after 4 years?
Answer:
After 4 years, the computer will be worth approximately $576. Since the computer loses 20% of its value each year, the total amount lost after 4 years is 80%. This means that the computer's original value of $1200 will be reduced to $576.
Step-by-step explanation:
IMPORTANT!!!!! I'LL GIVE BRAINLIEST
A certain amount of two types of candy are mixed together. One candy is worth $1.05 a pound, one is worth $1.35 a pound. The mixture is worth $1.17 a pound. How much of each type is used to create 30 pounds of the mixture?
18 pounds of candy costing $1.05 and 12 pounds of candy costing $1.35 are needed to be mixed to get a 30 pounds of mixture costing $1.17
What is an equation?An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.
Let x represent the amount of candy costing $1.05, y represent the candy costing $1.35.
The mixture is worth $1.17 a pound and is about 30 pounds. Hence:
1.05x + 1.35x = 1.17(30) (1)
Also:
x + y = 30 (2)
From both equations:
x = 18, y = 12
18 pounds and 12 pounds of candy are needed to be mixed
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PLEASE HELP!! I NEED A EXPLANATION TOO! please less than 5 mins
Answer:
i agree good job mate I'm not zooded while doing homework
Step-by-step explanation:
I didn't clear a then another then two more
Jesse measured a farm and made a scale drawing. The scale of the drawing was 1
centimeter = 4 meters. If the actual width of the goat pen is 8 meters, how wide is the
farm in the drawing?
The width of the farm in the drawing is 2 centimeters.
The formula used to calculate the width of the farm in the drawing is: the actual width of the goat pen divided by the scale of the drawing. In this case, 8 meters divided by 4 meters (1 centimeter = 4 meters) is equal to 2 centimeters. So, the width of the farm in the drawing is 2 centimeters.
To calculate the width of the farm in the drawing, we must first understand the scale of the drawing. The scale of the drawing is 1 centimeter = 4 meters. This means that for every 1 centimeter in the drawing, it represents 4 meters in the actual farm.
Next, we must determine the actual width of the goat pen. In this case, it is 8 meters.
Finally, we can calculate the width of the farm in the drawing by dividing the actual width of the goat pen (8 meters) by the scale of the drawing (1 centimeter = 4 meters). 8 meters divided by 4 meters is equal to 2 centimeters. So, the width of the farm in the drawing is 2 centimeters.
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The day has come! It is time for you to buy your first car. At the car lot, you find the very car you have always wanted and it costs $4,100 after all taxes and fees. Since you have little credit history, your interest rate will be 10.50%. But good news—you are still able to get a car loan!
What will the loan balance be after 3 months if the interest is compounded monthly and you pay $88.13 each month?
According to the information, it can be inferred that the balance after 3 months is that we have made interest payments for $107.6 of interest and $264.39.
How to calculate the balance of interest and car loan payments?To calculate the payment balance for the car loan we must take into account the following information:
interest rate 10.50%Each mother we will pay $88.13Total loan $4,100According to the above, we must find how much the interest is equal to:
4,100 / 100 * 100.50 = 430.5So, we must divide the result in the 12 months of the year
430.5 / 12 = 35.8and later multiply it by the three months that are being asked.
35.8 * 3 = 107.4Additionally, we must calculate how much the installment payment would be.
88.13 * 3 = 264.39So we would pay 371.79 for the 3 months.
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3/4 times 8 1/2 as a fraction
Answer: 3/4 * 1/2 = 3/8 = 0.375
hope this helpes
[tex] = \frac{3}{4} \times 8 \frac{1}{2} \\ [/tex]
[tex] = \frac{3}{4} \times \frac{8 \times 2 + 1}{2} \\ [/tex]
[tex] = \frac{3}{4} \times \frac{17}{2} \\ [/tex]
[tex] = \frac{51}{8} \\ [/tex]
Which is equivalent to 64 superscript one-fourth
Answer:
Below
Step-by-step explanation:
this is the same as [tex]\sqrt[4]{64}[/tex] and is [tex]\sqrt[4]{16*4}[/tex] and this equals 2 [tex]\sqrt[4]{4}[/tex]
find three different vectors that are a linear combination of the given vectors. u = 3 −2 , v = −1 −5
Linear combination of u and v is c1u + c2v where c1,c2 are scalars, eg. (1, -12), (2.5, -7), (6.5, -4.5).
What is vector ?
Vector is a term that refers colloquially to some quantities that cannot be expressed by a single number, or to elements of some vector spaces.
A linear combination of vectors u and v is a vector of the form c1u + c2v, where c1 and c2 are scalars. There are infinitely many possible linear combinations of u and v, here are three examples:
c1u + c2v = (1) (3, -2) + (2) (-1, -5) = (3 + -2, -2 - 10) = (1, -12)
c1u + c2v = (0.5) (3, -2) + (-1) (-1, -5) = (1.5 + 1, -2 - 5) = (2.5, -7)
c1u + c2v = (2) (3, -2) + (-0.5) (-1, -5) = (6 + 0.5, -2 - 2.5) = (6.5, -4.5)
that these are just three examples, there are many more possible linear combinations of u and v.
Linear combination of u and v is c1u + c2v where c1,c2 are scalars, eg. (1, -12), (2.5, -7), (6.5, -4.5).
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it costs johnny $15 a month plus $1.50 per song to download music. this situation is represented by the expression 1.5x 15, where x is the number of songs downloaded. how much will it cost johnny to download 10 songs?
The cost of downloading 10 songs for Johnny is $30.
The cost of downloading music for Johnny can be represented by the expression 1.5x + 15, where x is the number of songs downloaded. To find the cost of downloading 10 songs, we can plug in x = 10 into the expression:
1.5 * 10 + 15 = 15 + 15 = 30
So, it will cost Johnny $30 to download 10 songs. This expression represents the total cost as the sum of a $30 $30 ($15 monthly fee) and a variable cost ($1.50 per song fee).
The fixed cost remains constant regardless of the number of songs downloaded, while the variable cost increases as more songs are downloaded.
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Write an equation for this line.
Answer: X=3
Step-by-step explanation: Since it’s a vertical line the Y value is 0 making the line x=3 bc it’s on the 3 for the x-axis