Answer:
1000
Step-by-step explanation:
You want the next number after 222 in base 3.
Counting sequenceIn any useful number base, the counting at any given integer position is ...
0, 1, 2, 3, ..., (base -1), 0 and add 1 to the next number position
For base 3, this is ...
0, 1, 2, 10
When the digit in the next higher position is also (base -1), then it gets incremented to 0 and the carry is propagated to the left.
In base 10, the equivalent is ...
999 +1 = 99(9+1) = 99(10) = 9(9+1)0 = 9(10)0 = (9+1)00 = 1000
In base 3, your incremented value is ...
222 +1 = 22(2+1) = 22(10) = 2(2+1)0 = 2(10)0 = (2+1)00 = 1000
The next whole base 3 number after 222 is 1000.
Find the length of UW(with a line over it) if W is between U and V, UV = 16.8 centimeters, and VW = 7.9 centimeters.
Please explain as well.
Answer:
8.9 cm
Step-by-step explanation:
We have
[tex]\overline {UV} = 16.8 cm\\\\\overline {WV} = 7.9 cm\\\\ Since all lines are scalars, \overline{WV} = \overline{VW}\\\textrm{We see that \overline{UW} + \overline{WV} = \overline{UV}\\\\\overline {UW} \\ = \overline {UV} - \overline {WV} = 16.9 - 7.9 = 8.9 cm}[/tex]
What is the volume of this figure
5ft 10ft 15ft 15ft 5ft 10ft 5ft
If f(x) = x
What is g(x) if the graph moves 9 units up and 2 units to the right
Shift 2 units left: y = [tex](x+2)^{2}[/tex]
shift up 9 units: y = [tex](x+2)^{2}[/tex] + 9
reflect in the x-axis: y = - [tex](x+2)^{2}[/tex] - 9
y =[tex]x^{2}[/tex]
Shift 2 units left: y = [tex](x+2)^{2}[/tex]
Then, shift up 9 units: y = [tex](x+2)^{2}[/tex] + 9
Then, reflect in the x-axis: y = - [tex](x+2)^{2}[/tex] - 9
Each reference coordinate line is referred to as an axis of the system, or simply an axis (plural axes), and its origin is at the ordered pair intersection (0, 0). The positions of the perpendicular projections of the point onto the two axes, represented as signed distances from the origin, can likewise be used to establish the coordinates.
The same idea may be used to determine the location of any point in three dimensions using three Cartesian coordinates.
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The units of the trail map at the right are in kilometers. Suppose the trails are straight. Find the distance you would travel along each trail to the nearest tenth of a kilometer.
(see picture)
The distance of each of the paths are as follows;
25) Distance of Low Trail is; d = 17.1 km
26) Distance of willow walk is; d = 20.6 km
27) Distance of Pond Walk is; d = 8.5 km
28) Distance of Meadow Trail is; d = 22.8 km
How to find the Distance between Coordinates?
The formula for distance between two coordinates is;
d = √[(x1 - x2)² + (y1 - y2)²]
25) Distance of Low Trail is;
d = √[(14 - 12)² + (-2 - 15)²]
d = 17.1 km
26) Distance of willow walk is;
d = √[(10 + 4)² + (12 - 1)²]
d = 20.6 km
27) Distance of Pond Walk is;
d = √[(-4 + 12)² + (12 - 15)²]
d = 8.5 km
28) Distance of Meadow Trail is;
d = √[(14 + 4)² + (12 + 2)²]
d = 22.8 km
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The cost of a refrigerator to a store owner was $500, and she sold the refrigerator for $1090.
What was her percent of profit based on selling price? Follow the problem-solving process and round your answer to the nearest hundredth if necessary.
Answer:
She made 118% profit.
Step-by-step explanation:
Find the area and the perimeter of a rectangle with a length of 2√7 feet and a
width of 10√7 feet.
Answer:
see explanation
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = lw ( l is the length and w the width )
using the property [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a , then
A = 2[tex]\sqrt{7}[/tex] × 10[tex]\sqrt{7}[/tex]
= 2 × 10 × [tex]\sqrt{7}[/tex] × [tex]\sqrt{7}[/tex]
= 20 × 7
= 140 ft²
----------------------------------------
the perimeter (P) is calculated as
P = 2(l + w)
= 2(2[tex]\sqrt{7}[/tex] + 10[tex]\sqrt{7}[/tex] )
= 2(12[tex]\sqrt{7}[/tex] )
= 24[tex]\sqrt{7}[/tex] ft
Atlanta and Cincinnati 440 miles apart. John leaves Cincinnati; driving
toward Atlanta at an average rate of 60 mph. Pat leaves Atlanta at the same time, driving toward Cincinnati in her antique auto, averaging 28 mph. How long will it take them to meet?
Answer:
5 hours
Step-by-step explanation:
28x = 60(440-x)
28x = 60*440 - 60x
88x = 60*440
x = 60*440/88
x = 300mi, distance Jon travels
300mi/60mph = 5hrs, the time it took them to meet
CHECKING OUR ANSWER
60MPH*5HR + 28MPH*5HR = 300MI + 140MI = 440MI
On Thursday, it rained four-fifths of an inch. On Friday, it rained an additional one-third of an inch. What was the tota
rainfall on Thursday and Friday?
The total rainfall on Thursday and Friday was
(Type an integer or a simplified fraction.)
inches.
Answer:
1 2/15 inches
Step-by-step explanation:
First you need to make the denominator of the two fractions match.
4/5 and 1/3
the least common multiple of these is 15
4/5 becomes 12/15
1/3 becomes 5/15
add them together
17/15
subtract 15 from 17 because 15/15 is one
we get 2
put 2 as the numerator and 15 as the denominator
please help will give Brainly!
Answer:
Range is 21
I believe
Step-by-step explanation:
A store scale measures the weight of objects within 0.4 ounce of the actual weight. The store scale measured an object with an actual weight of x ounces, displaying 7.2 ounces on its screen. Which expression, using absolute value, shows the distance the actual weight is from the weight shown on the scale?
Hurry please!!
The distance the actual weight is from the weight shown on the scale is
l x - 7.2 l
In the given statement is :
A store scale measures the weight of objects within 0.4 ounce of the actual weight. The store scale measured an object with an actual weight of x ounces, displaying 7.2 ounces on its screen.
And, Which expression, using absolute value, shows the distance the actual weight is from the weight shown on the scale
Now, Let's start the solution:
A store scale measuring an object with an actual weight = x ounces
and, displaying the weight on its screen is = 7.2 ounces
By using the absolute value
Hence, The distance the actual weight is from the weight shown on the scale is l x - 7.2 l
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An employee at Kennedy Space Center (KSC) lives in Daytona Beach and works in the vehicle assembly building (VAB). She
carpools to work with a colleague. She drives 7 miles from her house to the park-and-ride. Then she rides with her colleague from the
park-and-ride in Daytona Beach to the KSC headquarters building, and then takes the KSC shuttle from the headquarters building to
the VAB. The drive from the park-and-ride to the headquarters building is of her total trip, and the shuttle ride is of her total trip.
How many miles does she travel from her house to the VAB on days her colleague drives?
Using proportions, it is found that she travels 60 miles from her house to the VAB on days her colleague drives.
What is the missing information?The drive from the park-and-ride to the headquarters is 5/6 of her trip.The shuttle ride is 1/20 of her trip.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The first step is finding the fraction corresponding to the 7 miles, hence considering that the total is of 100% = 1 and the fractions given above, we have that:
1 - 5/6 - 1/20 = 1 - 0.8333 - 0.05 = 0.1167.
The 7 miles represent 0.1167 of the trip, hence:
0.1167x = 7
x = 7/0.1167
x = 60.
She travels 60 miles from her house to the VAB on days her colleague drives.
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Help please math is about to end
Answer:
47 , 52
Step-by-step explanation:
Answer:
first figure area is 47 square units
second figure area is 52
What is the Area of the Figure?
The table shows the results of a survey of male and female students about whether their school should adopt a dress code. What is the probability that a randomly selected male student says that the school should adopt a dress code? Give your answer as a decimal rounded to the nearest thousandths
Using it's concept, there is a 0.462 probability that a randomly selected male student says that the school should adopt a dress code.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
From the table, we have that:
There are 30 + 35 = 65 male students.30 say that the school should adopt a dress code.Hence the probability is given by:
p = 30/65 = 0.462.
0.462 probability that a randomly selected male student says that the school should adopt a dress code.
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CALC II PLEASE HELP NEED FASST
The fluid force against the window is equal to 931.5 lb.
Given the following data:
Width of viewing portion = 69 inches.Dimension of fish tank = 69 × 28.5 × 1.5 inches.Density of seawater = 64 lb/ft. Thickness of glass = 3/4 inch.How to calculate the fluid force against the window?Generally speaking, the fluid force that is exerted on the fish tank by the seawater is due to the liquid pressure acting over the given area. Also, the fluid force that is exerted on the fish tank is directly proportional to the depth of seawater.
The depth of seawater is given by:
Depth = 28.5 - 1.5
Depth = 27 inches.
Next, we would convert the unit of the depth of seawater and width of viewing portion in inches to feet:
1 inch = 12 feet
Depth = 27 inches to feet = 27/12 = 2.25 feet.
Width = 69/12 = 5.75 feet.
Now, we can calculate the fluid force against the window by using this formula:
Fluid force = (density × depth × width)/2
Fluid force = (64 × 2.25² × 5.75)/2
Fluid force = 1863/2
Fluid force = 931.5 lb.
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Complete Question:
The viewing portion of the rectangular glass window in a fish tank is 69 inches wide and runs from 1.5 inches below the water's surface to 28.5 inches below the surface. Find the fluid force against this portion of the window. The weight-density of seawater is 64 lb/ft. What is the fluid force against the window?
What is the five number summary for the data set, 2,2,4,4,5,5,6,7,9
Answer:
4.88
Step-by-step explanation:
2+2+4+4+5+5+6+7+9=44
44÷9=4.88
Answer=4.88
What would be the reason for step #3?
Answer:
Definition of perpendicular lines
Step-by-step explanation:
1. The drawing shows a series of transformations.
III
Which sequence moves Triangle I to Triangle II to Triangle III?
A reflection followed by rotation
B. translation followed by rotation
C. translation followed by reflection
reflection followed by translation
D.
The drawing shows a series of transformations and the sequence that moves Triangle I to Triangle II to Triangle III is translation followed by reflection.
A reflection in arithmetic is a form of geometrical transformation, wherein an item is flipped to create a reflect or congruent image. The bisector of the plane is referred to as the definition on the line of reflection, and it is perpendicular to the preimage and photograph.
In the coordinate plane we will draw the translation if we recognize the path and how far the figure have to be moved. To translate the factor P(x,y) , a units right and b units up, use P'(x+a,y+b) .
A translation is a form of transformation that takes every factor in a figure and slides it the equal distance in the equal path.
Here, the image is first translated and then rotated.
Therefore, the drawing shows a series of transformations and the sequence that moves Triangle I to Triangle II to Triangle III is translation followed by reflection.
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50 pounds of pet food for $37.99? what is the unit rate?
Answer: 1.31613582522
Step-by-step explanation:
is it true that two pairs of adjacent sides of a kite are equal
Yes , it is true that two pairs of adjacent sides of a kite are equal .
A kite is a quadrilateral with two pairs of equal adjacent sides. The angles between adjacent pairs of sides are equal. The kite shape is a rectangle with two pairs of adjacent sides of equal length. The side pairs of the kite are not parallel, but the diagonal pairs are equal.If two sides share a common angle, then they are called adjacent sides.A quadrilateral with two pairs of adjacent sides equal in length is called a kite. Kites also have one pair of opposite angle equal as shown in the figure below.
Hence , the given statement is true .
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If a person who works 40 hours per week earns 51,200 per year, estimate that person’s hourly wage by rounding the annual income to the nearest ten thousand. Use the estimated that there are 50 weeks in a year
Answer:
$20 an hour
Step-by-step explanation:
20 x 50 = 1,000 and 1,000 x 51 = 51,000
Riley has $200.00. She spends $60.00 on a video game.
What percent of her money does Riley spend? Draw a diagram to show your thinking.
Answer:
Step-by-step explanation:
Mathematics, 26.09.2021 14:00, aliyahgregory
Point Q is the midpoint of segment PR. QR = 18 and PR = 5x+6.
we get the value of x as 2.4 units when QR is 18 units.
We are given a segment PR.
We are also given that Q is the mid point of the segment.
So, we get that
PQ = QR
Now, we have that
QR = 18 units
PR = 5 x + 6
We have to sind the value of x.
Substituting the values of PR and QR in the equation, we get that:
5 x + 6 = 18
5 x = 18 - 6
5 x = 12
x = 12 / 5
x = 2.4 units
Therefore, we get the value of x as 2.4 units when QR is 18 units.
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you buy x packs of pencils, twice as many packs of erasers, and three times as many rolls of tape. write an expression in simplest form for the total amount spent.
pencils cost 1.85
erasers cost 3.15
tape cost 2.50
Items purchased:
x packs of pencils,
twice as many packs of erasers, total number of eraser packs = 2x
three times the number of tape rolls, number of tape rolls = 3x
total expenditure = x m + 2xn + 3xp = x(m + 2n + 3p)
We now have two possibilities:
1- All three goods are the same price:
cost of one pencil pack = cost of one eraser pack = cost of one roll of tape = m
x m + 2xm + 3xm = 6xm
total amount spent
2- The three goods are not the same price:
m = the cost of one pencil pack
n = the cost of one pack of erasers
One roll of tape costs p.
total expenditure = x m + 2xn + 3xp = x(m + 2n + 3p)
An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression.
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PLEASE HELP! I WILL GIVE BRAINLEST
Answer: You're dividing, and the answer is 1/2, 1/4, 1/3, 1/8
Step-by-step explanation:
What inequality is represented by the number line graph?
Answer:
D. x ≤ 5
Step-by-step explanation:
The closed circle means greater than or equal to (≤) or less than or equal to (≥). The open circle is greater than (<) or less than (>).
And since the circle is closed and the arrow is going to the right, than x is either greater than 5 or equal to 5
A fair die is rolled four times what is the probability that a four is obtained on at least one of the rolls
The probability that a four is obtained on at least one of the rolls 51.71 %.
We need to use this formula in order to find out the probability of getting 4
1 – 54/64
=1 - 625/1296
= 671/1296
= 51.71%
Hence , the probability that a four is obtained is 51.71 %.
A traditional die is a cube with each of its six faces marked with a different number of dots from 1 to 6. Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that proportion is true. The probability of an event is a number between 0 and 1 , where roughly speaking , 0 indicated impossibility of the event and 1 indicates certainty.
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Tia climbed to the top of an observation tower overlooking a bird sanctuary and used the telescope at the top to observe two nests. The first nest was 400 meters away from the observation tower. Tia turned the telescope 135 degrees to observe the second nest, which was 300 meters away. How far apart are the two nests?
Answer:
648 m
Step-by-step explanation:
Given observations of two nests, one at 400 m, and the other at 300 m in a direction 135° from the first, you want to know the distance between the nests.
Law of CosinesThe law of cosines can be used to find the third side of a triangle, given two sides and the angle between them. It tells us ...
c² = a² +b² -2ab·cos(C)
In this scenario, we have a=400, b=300, and C=135°. The distance c is then ...
c² = 400² +300² -2·400·300·cos(135°) ≈ 419,705.63
c ≈ √419,705.63 ≈ 647.8
The two nests are about 648 meters apart.
B
What is the intersection of the two planes?
The intersection of the two planes is a Line.
According to the statement
We have to find that the Intersection of the planes.
So, For this purpose, we know that the
An intersection is a single point where two lines meet or cross each other.
From the given information:
A plane is a two-dimensional doubly ruled surface spanned by two linearly independent vectors.
And then the intersection of the plane becomes:
Then
The intersection of two planes is a line. If the planes do not intersect, they are parallel.
They cannot intersect at only one point because planes are infinite.it means parallel planes have no intersection point.
So, The intersection of the two planes is a Line.
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The quotients of 16.5 divided by 10