The number which has a finite number of digits after the decimal point is a terminating decimal.
The decimal is said to be terminating decimal if that has a finite number of digits after the decimal point. Decimal numbers are used to represent the partial amount of whole just like fractions. The number which has a finite number of digits after the decimal point is referred to as a terminating decimal. A number has a terminating decimal expansion if the digits after the decimal point terminate or are finite. The fraction 5/10 has the decimal expansion of 0.5 which is a terminating decimal expansion because digits after the decimal point end after one digit. Terminating decimal has finite digits and non-terminating decimals do not have finite digits. A number with a terminating decimal is always a rational number.
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Write a story problem using sea level that includes both integers -110 and 120
Answer:
A diver dove down in the ocean, they went down to 120 meters, They then proceeded to swim up resulting them at -110 meters, did they pass they 0 sea level? If yes, how?
Step-by-step explanation:
A voltage of 20 volts flow through a wire of 2.5ohm's resistance. Calculate the current
Answer:
8 A
Step-by-step explanation:
V = 20 volts
R = 2.5 ohms
I=?
By Ohm's Law
[tex] \because \: I \: = \frac{V}{R} \\ \\ \therefore \: I= \frac{20}{2.5} = \frac{200}{25} = 8 \: Ampere[/tex]
Does the table represent a linear or nonlinear function?
Answer:
Linear
Step-by-step explanation:
Linear means the graph is a straight line. If you plot the points, the line will be straight, therefore it is linear.
someone help me with this PLEASE FOR ALG 2 exponential functions
Answer:
a) exponential decay
b) $1000
c)not sure
Step-by-step explanation:
a) depreciates means disapprovel so its going down
b) 20000×0.05=1000
Big orange trucking is designing an information system for use in "in-cab" communications. It must summarize data from eight sites throughout a region to describe typical conditions. Compute an appropriate measure of central location for the variables wind direction, temperature, and pavement
Wind direction [Mode] is South west
The [Mean] temperature is
The [Bimodal] pavement is Dry Wet
From the question the first question is to determine the wind direction
Generally from the wind direction would be the data with the highest frequency on the wind column i.e the mode of the data, this because this variable(wind direction ) is a nominal level type of level of measurement where the value assigned to the variable are for classification of the data (i.e telling what the data is all about )
So
The mode is Southwest
This means that the wind direction is Southwest
From the question second question is to determine the temperature
Generally given that their are are no outlier that will skew the data we can obtain the temperature by calculating the mean for the temperature column
This is mathematically represented as
T = 89+86+....+93+93/8
T = 91
From the question, the first question is to determine the pavement
Generally from the pavement would be the data with the highest frequency on the pavement i.e the mode of the data, this because this variable(pavement ) is a nominal level type of level of measurement where the value assigned to the variable are for classification of the data (i.e telling what the data is all about )
From the table we see that the pavement that the pavement column is bimodal
So the mode is Dry Wet
This mean that the pavement is Dry Wet
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the cost of kens car wash was $23.95. if he wants to givve his detailer a 15% tip,about how much of a tip should he leave
Ken should leave a $3.59 tip.
We will discuss algebra, a branch of mathematics that deals with symbols and the rules for manipulating them, in the context of algebra word problem worksheets.
They represent variables or quantities without set values. Our abilities to construct and solve equations must be combined in order to solve algebraic word problems.
It is crucial to start by converting verbal descriptions into algebraic formulas before tackling word issues.
To find the amount of tip he should give, we note that 15% is equal to 0.15 as a decimal.
23.95 * 0.15= 3.5925≈3.59 (approximately)
Therefore, Ken should leave a $3.59 tip.
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Which graph represents a relation that is NOT a function
Answer:
3) if you were to draw vertical lines through this graph you would have instances where an 'x' value would have more than one unique 'y' value
Step-by-step explanation:
functions must have one unique 'y' value for each 'x' value
The third graph represent a relation that is not a function
What is a function?A relation is a function if it has only One y-value for each x-value.
The third one doesn't represent a function, because for some values of "x", you get two different values for "y" (which should not happen, if that were a function).
In order to see it better, you can trace a vertical line onto that graph.
If that line and the graph intersects in more than one point, then that graph doesn't represent a function.
In every function, you must have a single "y" value for each "x" in the domain.
Hence, the third graph represent a relation that is not a function
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.A car is traveling on a small highway and is either going 55 miles per hour or 35 miles per hour, depending on the speed limits, until it reaches its destination 200 miles away. Letting x represent the amount of time in hours that the car is going 55 miles per hour, and y being the time in hours that the car is going 35 miles per hour, an equation describing the relationship is: 55x+35y=200
A: If the car spends 2.5 hours going 35 miles per hour on the trip, how long does it spend going 55 miles per hour?
B: If the car spends 3 hours going 55 miles per hour on the trip, how long does it spend going 35 miles per hour?
C: If the car spends no time going 35 miles per hour, how long would the trip take? Explain your reasoning.
Answer:
This equation can be used to determine how long the car was traveling at each speed. You can solve for one of the variables by using algebraic techniques. For example, you could subtract 35y from both sides to get:
55x = 200 - 35y
Then divide both sides by 55 to get:
x = (200 - 35y)/55
This equation shows that the value of x (the time spent traveling at 55 mph) is determined by the value of y (the time spent traveling at 35 mph). If you know the value of y, you can use this equation to calculate the value of x.
To find the values of x and y that satisfy the equation, you will need to use additional information. For example, you could set up a system of equations and solve for x and y using techniques such as substitution or elimination.
Step-by-step explanation:
i dont understand it
Answer:
x=-3
y=10
Step-by-step explanation:
JRCXWD code for Qauthmath
Answer:
thank you, I guess
Step-by-step explanation:
PLEASE HELP ITS ATEST I BEG U. NEED HELP
Answer:
36 degrees
Step-by-step explanation:
angle 1 and 2 are the same
good luck!
Complementary angles are of 90°.
So, angle 1 + angle 2 = 90°
=> 36° + angle 2 = 90°
=> angle 2 = 90° - 36°
=> angle 2 = 54°
How do you tell if a set of ordered pairs satisfies an exponential function?
The following presumption has to be verified in order to establish whether the collection of ordered pairs fulfills an exponential function: The x-coordinates must have the same increment or a consistent difference.
What is an exponential function?A mathematical function of form f (x) = aˣ is an exponential function. "x" is a variable, while "a" is a constant that serves as the function's basis and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the foundation for exponential functions that are most frequently utilized.
Characteristics are:
The fact that a⁰ = 1 causes them all to include the point (0, 1). Always an asymptote, the x-axis. If (0 < a < 1) or (1 < a), they are decreasing and growing, respectively.To know more about exponential function refer to:
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What is the length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in?
The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the square of the length of the other two sides (a and b).
In this case, a = b = 9 in, so:
c2 = 92 + 92
c2 = 81 + 81
c2 = 162
c = √162
c = 12.73 in
The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in, calculated using the Pythagorean theorem.The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in.
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will GIVE BRAINLIEST!
Answer:
22 ft
Step-by-step explanation:
The circumference of a circle with given diameter d is C = (3.14)d.
Here, C = (3.14)(7 ft) = 21.98 ft, or approximately 22 ft
Answer:
22ftStep-by-step explanation:
Here,
It gives the diameter of a [tex]\huge{\bigcirc}[/tex]d=7feet,
Here,
[tex]\pi = 3.14[/tex]
Then the circumference of that circle is
[tex]\bold{ \pi×d }[/tex] 3.14×721.98ft[tex]\bold{\approx{22} }[/tex]ftHence
The circumference of that circle is 23ft
Help me please, worth 20 points
Answer:
It's actually worth 10 points
Select all the statistical questions
Answer:
B and C
Step-by-step explanation:
A general way to know this is, if the answer can be given as a rate, percentage, or probability, then this is a statistical question
If the answer is yes, no, true, false, or something exact, then the question is not statistical.
Let's analyze the given questions:
a) "How many cups are in a gallon?"
There is an exact number of cups in a gallon (16) so this is not an staistical question.
b) "Which measure spoon do home backers use most frequently?"
While here the answer may be something like "teaspoon", the root of the answer is a percentage, here we actually would see the percent of home backers (so we need to find a sample, study that sample, etc) that use each spoon, and based on that, we could conclude what is the correct answer, then this is a statistical question.
c) "On average, how much salt do professional pastry chefs use in pie crust?"
Here we need to find a mean value, so we would need to do a survey and etc, then this is a statistical question.
d) "Which is larger, 17 ounces or 2 cups?"
Here we have an exact solution, so this is not a statistical question.
e) "Did a specific store sell more measuring cups or measuring spoons on a given day?"
Here we just need to compare the two numbers:
number of measuring cups sold = k
number of measuring spoons sold = m
And we need to see which one is larger, so the answer is exact, thus, this is not a statistical question.
This may be similar to option B, the difference is that in option B we are talking about all home backers, so we need to find a sample and do statistics, while in this case, we are talking about a specific store.
Then the correct options are: B and C
noah ia taking a multiple choice test with a total of 20 points available. Each question is worth exactly 1 point. What would be Noah's test score (out of 20) if he got 3 questions wrong? What would be his score if he got questions wrong?
Answer:
17
I wish you luck in your assignments.
Please please help me no links
Please help with this question!
Answer:
3. 17.2°
Step-by-step explanation:
The angles for the right triangle are 90°, 72.8°, and 17.2°.
Greg teaches an art class. The table below shows how many drawings his students had
submitted by last Friday. Greg calculates the mean absolute deviation (MAD) of the data.
Then, one student submits 25 additional drawings. Greg cannot remember whether the
drawings are Amy's or Emily's, but he thinks the MAD will increase no matter who submitted
the drawings. Is Greg correct? Use the drop-down menus to explain your reasoning.
HURRY
Answer: The MAD of the data in the table is 10. If the additional drawings are Amy’s the MAD is the data set still decrease. If the are Emily’s, the MAD will increase. The MAD of the new data set does depend on whether it was Amy or Emily who turned in the additional drawings. So, Greg is incorrect.
Step-by-step explanation:
1. Which of these pairs of quantities are proportional to each other? For the quantities that are
proportional, what is the constant of proportionality?
a. Radius and diameter of a circle
b. Radius and circumference of a circle
c. Radius and area of a circle
d. Diameter and circumference of a circle
e. Diameter and area of a circle
a. Radius and diameter of a circle is proportional
b. Radius and circumference of a circle is proportional
c. Radius and area of a circle is not proportional
d. Diameter and circumference of a circle is proportional
e. Diameter and area of a circle is not proportional
Given that,
We have to find the pair of quantities are proportional to each other.
We know that,
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
We know
a. Radius and diameter of a circle is proportional because d=2r
b. Radius and circumference of a circle is proportional because C = 2πr
c. Radius and area of a circle is not proportional because A = πr² non linear relationship.
d. Diameter and circumference of a circle is proportional C = πd
e. Diameter and area of a circle is not proportional A = πd²
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Pls help I need this quick
Answer:
9.x=34
10.142
11.118
12.72
Step-by-step explanation:
9.180-146
10.because they are on the same side of the line but also opposite of each other
11.180-62
12.because if you pick up one side and put is on the other side the numbers will be the same.
Simplifying algebraic expressions
Answer:
Step-by-step explanation:
Plug in 5 for h
6(5)+7(5)
30+35=65
65
Answer:
[tex] \sf \: 6h + 7h = 65[/tex]
Step-by-step explanation:
Given information,
→ 6h + 7h
→ h = 5
Now the final value will be,
→ 6h + 7h
→ 6(5) + 7(5)
→ 30 + 35
→ 65 => final value
Hence, the answer is 65.
a mother is twice as old as her daughter 5 years from now she will be thrice as old as her daughter how old is the mother five years from now
Representation:
equation:
solution:
answer:
Answer:
Let's define the variables:
M = mother's age
D = daughter's age.
"a mother is twice as old as her daughter"
This can be written as:
M = 2*D
"5 years from now she will be thrice as old as her daughter"
(M + 5) = 3*D
We want to know how old is the mother five years from now.
First, our equations are:
M = 2*D
(M + 5) = 3*D
First, we need to isolate one of the variables in one of the equations, because for the solution we want the mother's age, we should isolate the daughter's age.
Let's isolate D in the first equation:
M/2 = D
Now we can replace this in the other equation:
Now we can replace this on the other equation:
(M + 5) = 3*(M/2)
M + 5 - (3/2)*M = 0
-(1/2)*M + 5 = 0
5 = (1/2)*M
2*5 = M = 10
So the mother is 10 years old (this hasn't a lot of sense, maybe there is a wrong number on the question)
and 5 years from now, the mother will be:
10 + 5 = 15 years old.
which answer is this
A.43
B.38
C.61
D.81
Answer:
81
Step-by-step explanation:
by corresponding angles from angle ABC
Trapezoid MNPQ is similar to Trapezoid RSTU. What is the length of the "x" on the misside side NP ? Also, what is the length of "y" on the missing side TU?
Answer:
[tex]x = 15[/tex]
[tex]y = 25[/tex]
Step-by-step explanation:
Given
See attachment for MNPQ and RSTU
Required
Find x and y
To solve this question, we make use of equivalent ratios of corresponding side lengths.
The ratio of corresponding sides are:
[tex]MN : RS[/tex]
[tex]NP : ST[/tex]
[tex]PQ : TU[/tex]
[tex]MQ : RU[/tex]
From the attachment, we have:
[tex]MN : RS \to 18 : 30[/tex]
[tex]NP : ST \to x : 25[/tex]
[tex]PQ : TU \to 15 : y[/tex]
To solve for x, we equate [tex]MN : RS[/tex] and [tex]NP : ST[/tex]
[tex]18 : 30 = x : 25[/tex]
Express as fraction
[tex]\frac{18 }{ 30 }= \frac{x }{ 25}[/tex]
Make x the subject
[tex]x = 25 * \frac{18 }{ 30 }[/tex]
[tex]x = \frac{25 * 18 }{ 30 }[/tex]
[tex]x = \frac{450}{ 30 }[/tex]
[tex]x = 15[/tex]
To solve for y, we equate [tex]MN : RS[/tex] and [tex]PQ : TU[/tex]
[tex]18 : 30 = 15 : y[/tex]
Express as fraction
[tex]\frac{18 }{ 30 }= \frac{15 }{ y}[/tex]
Make y the subject
[tex]y = 15 * \frac{30 }{ 18 }[/tex]
[tex]y = \frac{15 *30}{ 18 }[/tex]
[tex]y = \frac{450}{ 18 }[/tex]
[tex]y = 25[/tex]
Determine the total SA of this cone having radius 7 inches and a slant height 11 inches.
a) 259.7 in^2
b) 395.8 in^2
c) 153.9 in^2
d) 241.9 in^2
Equilateral triangle T is inscribed in circle A , which has radius 10 . Circle B with radius 3 is internally tangent to circle A at one vertex of T . Circles C and D , both with radius 2, are internally tangent to circle A at the other two vertices of T. Circles B, C , and D are all externally tangent to circle E, which has radius m/n , where m and nare relatively prime positive integers. Find m+n
For the given figure, where m and nare relatively prime positive integers. The value of m+n is 32.
Explain Law of Cosines.The law of cosines, also known as the law of cosines, relates all three sides of a triangle to one angle of the triangle. Most useful for searching for missing information in triangles. For example, if you know all three sides of a triangle, you can use the law of cosines to find the measure of the angle. Similarly, if you know two sides and the angle between them, you can find the length of the third side by the law of cosines.
Let X be the intersection of the circles with centers B and E, and Y be the intersection of the circles with centers C and E.
Since the radius of B is 3, AX = 4.
Assume AE = p.
Then EX and EY are radii of circle E and have length 4 + p.
AC = 8, and ∠CAE = 60° because we are given that triangle T is equilateral.
Using the Law of Cosines on Δ CAE, we obtain
(6+p)² =p² + 64 - 2(8)(p) cos 60
The 2 and the cos 60 terms cancel out:
p² + 12p + 36 = p² + 64 - 8p
12p+ 36 = 64 - 8p
p = 28/20
= 7/5
The radius of circle E is 4 + (7/5)
= 27/5,
So, the answer is 27 + 5 = 32
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Points A, R and G are points of tangency. Find the perimeter of ∆NET below.
Answer:
[tex]\small\mathfrak\red{here \: is \: your \: solution..} \\ \\ we \: know \: that \: tangent \\ from \: a \: same point \: are \: equal \\ \\ tr = 9 | an = 7 | eg = 5 \\ \\ tr = ta | an = gn | eg = re \\ \\ ta = 9 | gn =7 | re = 5 \\ \\ hence \: perimeter \: = 2(9 + 7 + 5) \\ \\ perimeter = 42 \: \\ \\ \huge\mathfrak\purple{hope \: it \: helps...}[/tex]
In the interval 0° < x < 360°, find the values of x for which tan x = -0.8645
Answer:
Step-by-step explanation:
x=tan^{-1}(-0.8645) \approx -40.84°,-40.84+180,-40.84+360
x=139.16°,319.16°
The values of x in the interval 0° < x < 360° for which tan(x) = -0.8645 are approximately 139.18° and 299.18°.
To find the values of x in the interval 0° < x < 360° for which tan(x) = -0.8645, you can use the inverse tangent function (also known as arctan or atan). The inverse tangent function will give you the angle whose tangent is equal to the given value.
Using a calculator or a math software that supports trigonometric functions, you can take the inverse tangent (arctan) of -0.8645 to find the angle:
arctan(-0.8645) ≈ -40.82°
Since tangent is a periodic function with a period of 180°, you can find other angles that satisfy the equation by adding or subtracting multiples of 180°:
-40.82° + 180° ≈ 139.18°
-40.82° + 2 * 180° ≈ 299.18°
So, the values of x in the interval 0° < x < 360° for which tan(x) = -0.8645 are approximately 139.18° and 299.18°.
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