Answer:
1/4
Step-by-step explanation:
0.25 * 4 = 1
so, 1/4 = 0.25
Using the metric system, a ___ is 10 of a unit? A. Kilo B. Hecto C. Deka D. Base number
Using the metric system, a Deka is 10 of a unit. In the metric system, the prefix "deka" (also written as "deca") represents 10 of a unit. So, the correct option is C.
The metric system is an internationally recognized system of measurement that is used in many countries around the world. It is also known as the International System of Units (SI), and it is based on a decimal system, meaning that units are related to each other by powers of 10.
The metric system has a set of base units that are used to measure different types of quantities. The base units are:
Meter (m): used to measure length or distance
Kilogram (kg): used to measure mass or weight
Second (s): used to measure time
Each base unit has a set of prefixes that can be used to create larger or smaller units. These prefixes are based on powers of 10, and they are added to the base unit to indicate the size of the unit. Here are the most common prefixes and their meanings:
Kilo- (k): 1000 times the base unit (e.g., 1 kilogram = 1000 grams)
Hecto- (h): 100 times the base unit (e.g., 1 hectometer = 100 meters)
Deka- (da): 10 times the base unit (e.g., 1 dekagram = 10 grams)
Using these prefixes, you can create units that are appropriate for the quantity you are measuring.
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Please find Total surface area
Answer:
688cm^2
Step-by-step explanation:
5*16= 80
16*12= 192
6*12= 72
80+80+192+192+72+72= 688cm^2
Find the interquartile range using the following information.
Lower Extreme: 2
Q1: 4
Median:
Q3: 14
Upper Extreme: 16
Group of answer choices
10
16
4
14
This is 25 pts
The interquartile range is 10 (first option)
What is the interquartile range?The interquartile range is the difference between the third quartile and the first quartile of a dataset. It is a measure of variation. The third quartile represents 75% of the dataset. While the first quartile represents 25% of the dataset.
Interquartile range = third quartile - first quartile
14 - 4 = 10
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Choose ALL answers that describe the polygon below.
The shapes that describes the polygon are;
Parallelogram
Rectangle
Square
Quadrilateral
How to determine the properties of the figure
The figure has the properties of different shapes;
a. A square
The four sides of a square are equal and congruent
b. A parallelogram
Opposite angles of a parallelogram are congruent
c. A quadrilateral
It is a four-sided polygonIt has four edgesIt has four sides and four cornersd. A rectangle
Opposite angles are equal and congruent
Hence, the shape can be described as a square, parallelogram, quadrilateral and rectangle.
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Keenan went out in his sailboat on Lake Tahoe one Sunday afternoon. He sailed at 5 miles per hour for the trip out. He sailed twice as fast on the trip back. The entire trip took 6 hours. How far out did he go on the sailboat?
The distance covered is. 90 miles
DistanceSpeed is the distance an object travels in a given time.
This is represented as
Speed = Distance ÷ Time
We can also use the speed formula to calculate the distance or time by substituting the known values in the formula for speed and further evaluating,
Distance = Speed × Time or,
Time = Distance/Speed
To find the distance covered, we find the total speed
= 5 + 10(twice as fast on the trip back)
= 15
Distance = speed x time
= 15mph x 6hours
= 90miles
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The number of people signed up for a bus trip increased from 32 to 45.what is the percent increase round to the nearest percent
Answer:
41
Step-by-step explanation:
You got to first divide 45 by 32. Which is 1.40625 so 1.40625 - 1 = 0.40625 x 100 = 40.625. Round to the nearest whole percent ... 41
Find the measure of the arc. C D 146 B F E A DE=?
In the given diagram, the measure of arc DE, mDE, is 90°
Calculating the measure of an arcFrom the question, we are to find the measure of the given arc.
The angle measure of an arc is the angle subtended by the arc at the center of the circle.
From the given diagram, we are to determine the measure of arc DE.
In the given diagram, we can observe that the angle subtended by arc DE is a right angle. That is, the measure of arc DE is a right angle.
The measure of a right angle is 90°.
Hence, the measure of arc DE is 90°
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Nick is a plumber who charges $65 for a service call and $55 per hour of work fixing a plumbing problem.
Which expression models this
situation?
A) 65h + 55
B) 55h + 65
C) 65 + 55
D) 120h
PLEASE BE ACCURATE!!! THANK YOU!!! :)
Answer: PLEASE GIVE BRAINLIEST
B) 55h + 65
Step-by-step explanation:
The correct expression is B) 55h + 65, which models the situation as $55 per hour of work (h) plus a $65 service call fee.
the prefix that multiplies a basic si unit by 0.01 is
SI unit is an international system of measurements that are used universally in technical and scientific research to avoid the confusion with the units. Having a standard unit system is important because it helps the entire world to understand the measurements in one set of unit systems.
SI system“The International System of Units is abbreviated as SI.The SI system has seven base units.The SI system allows the use of prefixes to indicate the multiples or submultiples of a unit.SI prefix for [tex]10^-^9[/tex]The SI prefix for [tex]10^-^9[/tex] is nano.The symbol for nano is n.Learn more about SI unit at:
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The given question is incomplete, complete question is:
What is the SI prefix for each of the following multiples and submultiples of a unit?
[tex]10^-^9[/tex]
If someone has done this before please help me.
The prove is as follows
Statement Reason
line BC || line DA Definition of parallelogram
Draw line AC Unique line postulate
AC = CA Reflexive property (common sides)
∠BAC = ∠DCA Alternate interior angles
∠BCA = ∠DAC Alternate interior angles
Δ ABC ≅ Δ CDA ASA triangle postulate
AB ≅ CD CPCTC theorem
BC ≅ DA CPCTC theorem
What is ASA postulate?The ASA (Angle-Side-Angle) postulate is a statement about the relationship between the angles and sides of triangles. It states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. In other words, if two triangles have the same shape and size, then they are congruent.
CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent." This theorem states that if two triangles are congruent, then all their corresponding parts are congruent. In other words, if two triangles have the same shape and size, then all their angles and sides are congruent.
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Find the value of x PLEASE HELP
Answer:
43°
Step-by-step explanation:
Because it is a parallelogram, there is 2 pairs of parallel lines, therefore, opposite angles are equal.
A teacher charges $2 for a
pencil to student who forgot to
bring one to class. If Nelson was
charged at least $30, how many
times did he forget his pencil?
Answer:
15 or more times
Step-by-step explanation:
30/2=15. It says that at least so 15 or more
There are only Year 10 pupils,
Year 11 pupils and Year 12
pupils in a group
The ratio of Year 10 to Year 11
is 1 : 40
The ratio of Year 11 to Year 12
is 10: 9
Find the ratio Year 10: Year
11: Year 12
Give your ratio in its simplest
form with integer parts.
The ratio for year 10: year 11: and year 12 will be 1: 40: 36.
What is ratio?The utilization of two or more additional numbers that compares is known as the ratio.
The ratio of Year 10 to Year 11 is 1: 40. Then the ratio is given as,
y₁₁ / y₁₂ = 1/40
y₁₁ / 1 = y₁₂ / 40 ...1
The ratio of Year 11 to Year 12 is 10: 9. Then the ratio is given as,
y₁₂ / y₁₃ = 10 / 9
y₁₂ / y₁₃ = 40 / 36
y₁₂ / 40 = y₁₃ / 36 ...2
From equations 1 and 2, then we have
y₁₁ / 1 = y₁₂ / 40 = y₁₃ / 36
y₁₁: y₁₂: y₁₃ = 1: 40: 36
The ratio for year 10: year 11: and year 12 will be 1: 40: 36.
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At a bus station, buses begin their route at 6:00 am. The schedule for two of the buses is based on the time intervals listed below
-Bus A has a long route and leaves the station every 75 minutes
-Bus B has a long route and leaves the station every 15 minutes
What is the next time Bus A and Bus B will leave the bus station at the same time?
(Choices)
A 7:00AM
B 7.15AM
C 7:30AM
D 8:30AM
Answer:
B
Step-by-step explanation:
Bus A and B leave at 6:00 am (First bus of the day).
The schedule for Bus A and B are as follows:
Bus A: 6:00 am --> 7:15 am --> 8:30 am
Bus B: 6:00 am --> 6:15 am --> 6:30 am --> 6:45 am --> 7:00 am --> 7:15 am
As you can see, bus A and B leave the station together again at 7:15 am.
Hence, the answer is B.
Ahmed buys 4 cups of Karak Chai and 3 scones for 12 AED. Yusuf buys 2 cups of Karak Chai and 5 scones for 13 AED.
Find the price of a cup of tea and the price of a scone.
Answer:
Step-by-step explanation:
this is so confusing
1. Betty Arca.
Installment loan of $800.00.
Finance charge of $40.72.
Requires 36 monthly payments.
What is the APR?
Using an online finance calculator, the annual percentage rate (APR) of an $800 installment loan with a finance charge of $40.72 for 36 monthly payments is 1.656%.
What is the annual percentage rate?The annual percentage rate (APR) is the cost of borrowing, including the interest and other fees, expressed as a percentage of the debt.
The APR is always computed as an annual rate to show the cost of borrowing or finance charge over a year.
N (# of periods) = 36 months
PV (Present Value) = $800
PMT (Periodic Payment) = $0
FV (Future Value) = $-840.72
I/Y = 1.656% if interest compounds 12 times per year (APR)
I/Y = 1.669% if interest compounds once per year (APY)
I/period = 0.138% interest per period
Total Interest = $40.72
Thus, for Betty Arca's installment loan of $800, the APR is 1.656%.
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In 2020, the population of a small town was 8,000. The population is increasing at a rate of 4.3% per year. Rewrite an exponential growth function to find the monthly and quarterly rates.
Answer:
The exponential growth function for the population can be written as:
P(t) = P0 * e^(rt)
Where:
P0 = initial population = 8,000
r = annual growth rate = 4.3% = 0.043
To find the monthly rate, we need to divide the annual rate by 12 (since there are 12 months in a year):
r_monthly = r/12 = 0.043/12 = 0.00358
So the exponential growth function with monthly growth rate becomes:
P(t) = 8000 * e^(0.00358t)
To find the quarterly rate, we need to divide the annual rate by 4 (since there are 4 quarters in a year):
r_quarterly = r/4 = 0.043/4 = 0.01075
So the exponential growth function with quarterly growth rate becomes:
P(t) = 8000 * e^(0.01075t)
3. How many beats does a dotted whole note (o) get? (1 point)
08
04
05
06
Thus, In a rhythmic pattern where the whole note is equal to 4 beats, a dotted whole note (o) receives 6 beats.
How to find number beats a dotted whole note (o) get?A dot to the right of a note lengthens it by half of its original value in music notation.
A whole note that has a dot to the right of it is referred to as a dotted whole note. Whole notes typically receive 4 beats.
The note's overall duration is 4 + 2 = 6 beats after the dot adds the note's original duration by half.
Hence, 06 is the right response since a dotted whole note in a time signature where a whole note is equal to 4 beats receives 6 beats.
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at the 1997 rate of consumption, about how long will the estimated 2,000 billion barrels of oil last?a. 25 yearsb. 50 yearsc. 75 yearsd. 200 yearse. 500 years
As the consumption rate of 1997 estimated 2,000 billion barrels of oil last in 74.34 approx 75 year .
As here the rate of 1997 is not given which will be find in the below link which is 73.7000 millions barrels per day was the consumption of oil. here we have awalible the data of per days and we have to calculate for year so in year 1997 there was 365 days so comsumption of oil yearly was .
1997 consumption = 73.700 million barrels per day
so for 1 year 73.700 million *365 =26,900.5 million barrels per day
her we find the rate of yearly so by this rate we will calculate the consumption of 2000 billion barrels of oil
2000 billion = 2,000,000 millions
here we are calculation this in million
so for 2,000,000 million will be
2,000,000 million /26,900.5 million =74.34 year
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Find the equation of the ellipsoid passing through the points (±6,0,0),(0,±7,0) and (0,0,±5)
The equation of the ellipsoid is[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } +\frac{z^{2} }{c^{2} } =1[/tex]
The equation of an ellipsoid is represented as:
[tex]\frac{x^{2} }{a^{2} } +\frac{y^{2} }{b^{2} } +\frac{z^{2} }{c^{2} } =1[/tex]
Given that the ellipsoid passes through the points (±6,0,0),(0,±7,0) and (0,0,±5)
It means that:
(±a,0,0) = (±6,0,0)
(0,±b,0) = (0,±7,0)
(0,0,±c) = (0,0,±5)
By comparison, we have:
±a=±5
±b=±6
±c=±7
So, the equation of the ellipsoid becomes:
[tex]\frac{x^{2} }{a^{2} } +\frac{y^{2} }{b^{2} } +\frac{z^{2} }{c^{2} } =1[/tex]
By substituting the values, the equation of the ellipsoid becomes is
[tex]\frac{x^{2} }{36}+\frac{y^{2} }{49} +\frac{z^{2} }{25} =1[/tex]
.An ellipse is the set of all points on a plane whose distance from two fixed points F and G add up to a constant. In an ellipse, there are two radius measures, one horizontally along the x-axis, the other vertically along the y-axis.For a circle both these have the same value.
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helppppp write all answers under numbers
The congruent postulates for each triangle pair is given above.
What are congruent triangles?Congruent triangles have both the same shape and the same size.
Given are the triangles as shown in the image.
We can write the congruent postulates for each pair of triangles as -
{ 1 } - AAS {Angle - Angle - Side}
{ 2 } - SSS {Side - Side - Side}
{ 3 } - SAS {Side - Angle - Side}
{ 4 } - SAS {Side - Angle - Side}
{ 5 } - SAS {Side - Angle - Side}
{ 6 } - SAS {Angle - Side - Angle}
Therefore, the congruent postulates for each triangle pair is given above.
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Spot the Dog gained 4 3/4 ounces each week for the first 6 weeks of his
life. How much weight did Spot the Dog gain during this time?
The weight gained by the spot dog during his time is 57/2 ounces.
What are mathematical operations?An operation is a function in mathematics that converts zero or more input values, also known as "operands" or "arguments," into a clearly defined output value. The operation's complexity is determined by its operand count.
The most frequently studied operations are unary operations (i.e., operations of arity 1), which include additive inverse and multiplicative inverse, as well as binary operations (i.e., operations of arity 2), which include addition and multiplication. The nullary operation, also known as an operation of arity zero, is a constant. A ternary operation, also known as an operation of arity 3, is an example of the mixed product.
Given that, spot the Dog gained 4 3/4 ounces each week for the first 6 weeks of his life.
Convert the mixed fraction into improper fraction:
4 3/4 = 19/4 ounces
The weight gained for 6 weeks is:
19/4 (6) = 114/4 = 57/2
Hence, the weight gained by the spot dog during his time is 57/2 ounces.
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Arrange the following decimals in ascending order.
4. 7569 ; 47. 569 ; 4.9675 ; 4.0007 ; 47. 965 ; 47.005 ; 4.5
Answer:
4.0007, 4.5, 4.7569, 4.9675, 47,005, 47.569, 47.965
Step-by-step explanation:
How to Calculate the Moment of Inertia for a Cylinder?
The moment of inertia (I) is a measure of an object's resistance to rotational motion around an axis. The moment of inertia of a cylinder can be calculated using the following formula:
I = (1/2) × m × r²
where:
I is the moment of inertia of the cylinder
m is the mass of the cylinder
r is the radius of the cylinder.
Here are the steps to calculate the moment of inertia for a cylinder:
Determine the mass of the cylinder. This can be done by weighing the cylinder on a scale or by using its density and volume. The formula for the mass of a cylinder is:
m = density × volume
Measure the radius of the cylinder. This is the distance from the center of the cylinder to its outer edge.
Substitute the values of m and r into the moment of inertia formula:
I = (1/2) × m × r²
Calculate the moment of inertia using a calculator.
Note that the moment of inertia of a hollow cylinder is different from that of a solid cylinder. To calculate the moment of inertia of a hollow cylinder, you need to subtract the moment of inertia of the hollow space from the moment of inertia of the solid cylinder using the parallel axis theorem.
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please help me on this
Answer:
[tex]\dfrac{9}{12} - \dfrac{11}{18} = \dfrac{5}{36}[/tex]
Step-by-step explanation:
We can solve this subtraction of fractions by converting both fractions to forms where they have a common denominator.
To do this, we first have to find the least common multiple (LCM) of their denominators.
1. Write out the denominators' prime factorizations.
12 18
2, 2, 3 2, 3, 3
2. Multiply the greatest multiple of each prime number.
2² × 3² = 4 × 9 = 36
So, the LCM of the denominators is 36.
Next, we need to get both fractions' denominators to 36 by multiplying each one by {36 divided by them} over {36 divided by them}.
Remember, this is just multiplying by 1.
[tex]\left(\dfrac{9}{12} \times \dfrac{36/12}{36/12}\right) - \left(\dfrac{11}{18} \times \dfrac{36/18}{36/18}\right)[/tex]
↓ simplifying the fractions being multiplied
[tex]\left(\dfrac{9}{12} \times \dfrac{3}{3}\right) - \left(\dfrac{11}{18} \times \dfrac{2}{2}\right)[/tex]
↓ executing the multiplication
[tex]\dfrac{27}{36} - \dfrac{22}{36}[/tex]
Finally, we can subtract the fractions' numerators.
[tex]\dfrac{27}{36} - \dfrac{22}{36} = \boxed{\dfrac{5}{36}}[/tex]
The dimensions of a parallelogram are given in centimeters.
5.5, 4.5, 6cm.
What is the area of the parallelogram in square centimeters?
The area of the parallelogram is 27 square centimeters.
What is area?A region's size on a surface is determined by its area. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area might be thought of as how much material of a certain thickness would be required to create a model of the shape, or as how much paint would be required to completely cover the surface in a single application.
The area of the parallelogram is given as:
A = (b)(h)
Here, the base is 4.5cm and the height is 6 cm.
Thus,
A = (4.5)(6)
A = 27 square centimeters.
Hence, the area of the parallelogram is 27 square centimeters.
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Write down the total surface area of cylinder having lateral surface area M sq. units and area of base A sq. units.
The total surface area of the given cylinder is; MA sq. units
What is the total surface area of the cylinder?The curved surface of a cylinder is also known as its lateral surface. The area of this lateral surface is referred to as the lateral surface area of the cylinder.
Meanwhile, the formula for the total surface area of the cylinder is;
Total surface area = Lateral surface area + base area
We are given;
lateral surface area = M sq. units
Area of base = A sq. units.
Thus;
Total surface area = M * A
Total surface area = MA sq. units
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Determine whether the underlined value is a parameter or a statistic.
Following the election, 18 % of the governors of all 50 areas of a country were female.
Is the value a parameter or a statistic?
The given numerical value is a Statistic.
Parameters are numeric values that characterize the population as a whole. A statistic is a number that describes the characteristics of a sample.
For example, median income in the United States is a demographic parameter. Conversely, the median income for the US sample is a sample statistic. Both values represent median income, but one is a parameter to the statistic. Easy to remember parameters and stats! Both are summary values that describe the group, and have a convenient mnemonic device to remind you which group is being described. Notice their initials.
Parameter = Population
Statistics = Sample
A population is the entire group of people, things, animals, trades, etc. that are being studied. A sample is part of a population.
Following the election, 18 % of the governors of all 50 areas of a country were female.
Given that, 18% of the 50areas of a country were females.
Now,
18*50/100 = 9
Since it is a perfect number
The given numerical value is a statistic.
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You examine a contemporary DNA sculpture. You use a
curdboard square to line up the top and bottom of the sculpture with your eye, as shown at the left. Approximate the height of the sculpture
To answer this correctly, you could provide me with more information or details, I would be happy to try and help you approximate the height of the sculpture.
What is DNA?
DNA (Deoxyribonucleic acid) is a patch that contains the inheritable instructions used in the development and functioning of all living organisms. It's a long, double-stranded, spiral structure made up of four different structure blocks called nucleotides, which are represented by the letters A, T, C, and G. The specific sequence of these nucleotides along the length of the DNA patch determines the inheritable law of an individual organism and is responsible for its unique characteristics and traits. DNA is located in the nexus of cells and is organized into structures called chromosomes. It's essential for the replication of cells and the transmission of inheritable information from one generation to the coming.
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The temperature in Toronto, Canada was 12° F at noon. For the remainder of the day, the temperature dropped 5° every hour. What equation could be used to represent the relationship between x, the number of hours past noon, and y, the temperature outside?
WHAT IS THE GRAPH?
The relationship between the number of hours past noon and the temperature outside is y = -5x + 12
How to determine the equationFrom the question, we have the following parameters that can be used in our computation:
Initial = 12 degrees
Rate = -5 degrees
To represent the relationship between the number of hours past noon and the temperature outside, we can use the equation:
y = Rate * x + Initial
So, we have
y = -5x + 12
where y represents the temperature in degrees Fahrenheit and x represents the number of hours past noon.
The graph of the equation is a linear equation
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