Answer:
d/t
D= Distance
T= Time
Step-by-step explanation:
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The formula to find average speed ~
\( \mathrm{ \dfrac{total \: \: distance \: \: covered}{total \: \: time \: \: taken} }\)
Formula for Instantaneous speed ~
\( \dfrac{ds}{dt} \)
where,
s represents distance covered t represents timeIt's derivative of distance with respect to time ~
hope it helps !
A circle has a circumference of 47.1 cm and a diameter of 15 cm.
What number represents the ratio of the circumference to the diameter of this circle?
WILL GIVE BRAINLLIEST
9 is 10% of what number
Answer: the answer is 90 bro
Step-by-step explanation:
Simplify the following numerical expressions.
Choose from the numbers in parentheses
|-7| - 7 =
<
2 |-7| =
( -7 )^2 =
<
-7^2 =
>
-7 -|-7| =
(-49) (14) (-14) (0) (49)
Answer:
|-7| - 7 = 0
2 |-7| = 14
( -7 )^2 = 49
-7^2 = 49
-7 -|-7| = -14
Step-by-step explanation:
it rains twice a week( change into how often)
Answer:
How often does it rain in a week?
Step-by-step explanation:
Elijah is ordering a taxi from an online taxi service. The taxi charges $2 just for the
pickup and then an additional $1.50 per mile driven. How much would a taxi ride
cost if Elijah is riding for 9 miles? How much would a taxi ride cost that is m miles
long?
Cost of ride, 9 miles:
Cost of ride, m miles:
The cost of a taxi ride that is m miles long can be represented by the equation: Cost of ride, m miles = $2 + $1.50m
To calculate the cost of a taxi ride for 9 miles, we need to consider the fixed pickup cost of $2 and the additional cost per mile driven, which is $1.50.
For the 9-mile ride, the additional cost would be:
Additional Cost = $1.50 per mile × 9 miles = $13.50
Adding the pickup cost and the additional cost gives us the total cost of the ride:
Total Cost = Pickup Cost + Additional Cost = $2 + $13.50 = $15.50
Therefore, the cost of the taxi ride for 9 miles would be $15.50.
For a taxi ride that is m miles long, we can use the same formula. The additional cost would be:
Additional Cost = $1.50 per mile × m miles = $1.50m
The total cost of the ride would then be:
Total Cost = Pickup Cost + Additional Cost = $2 + $1.50m
This formula allows us to calculate the cost of the taxi ride for any given number of miles, represented by the variable m.
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A shirt is regularly priced at $42. It is on sale for 15% off. What is the discount?
Answer:
$6.30 off
Step-by-step explanation:
Answer:
The answer is 6.3.
Step-by-step explanation:
15 x 42
---------
100
= 6.3
In 15 words or fewer, will dividing the two polynomials in the table produce another polynomial? Why or why not?
Dividing two polynomials may produce another polynomial only when the divisor has a lower degree than the dividend. Otherwise, it will generally result in a rational function.
No, dividing two polynomials may not result in another polynomial. It can produce a rational function.
A polynomial is an algebraic expression consisting of terms with non-negative integer exponents. When two polynomials are divided, the result is not always a polynomial.
If the degree of the polynomial being divided (dividend) is higher than the degree of the polynomial dividing (divisor), then the result can be a polynomial with a lower degree. However, if the degree of the divisor is equal to or greater than the degree of the dividend, the result will generally be a rational function, which is a ratio of two polynomials.
A rational function has the form P(x)/Q(x), where P(x) and Q(x) are polynomials and Q(x) is not equal to zero. The division can introduce terms with negative or fractional exponents, making the result a rational function rather than a polynomial.
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Solve for x.
|4x|=16∣4x∣=16
Write your answer as x=# and x=#
The solution to the given equation are 4 and -4
Solving modulus equationModulus equation can both be negative and positive
Given the expression below
∣4x∣=16
For the positive
4x = 16
x = 4
For the negative
-4x = 16
x = -4
Hence the solution to the given equation are 4 and -4
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HELP ME PLEASE!!!!!!!
Answer:
Step-by-step explanation:
Graph # Matching equation
1 |-3x|
2 |-x|
3 -|2x|
You can tell which one matches by finding the slope and whether the V points up or down
use the graph below to find the x and y incerpts
(the second picture has the options)
Step-by-step explanation:
answer 2. should be right
If the forecast for two consecutive periods is 1,500 and 1,400 and the actual demand is 1,200 and 1,500 , then the mean absolute deviation is 1) 500 2) 700 3) 200 4) 100
200 is the mean absolute deviation. Therefore, choice three (200) is the right one.
How to calculate the mean absolute deviation
The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.
Forecasted values are as follows: 1,500 and 1,400
Values in actuality: 1,200 and 1,500
Absolute differences:
|1,500 - 1,200| = 300
|1,400 - 1,500| = 100
Now, we calculate the MAD:
MAD = (300 + 100) / 2 = 400 / 2 = 200
Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.
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The number exceed four times it's reciprocal by3 .find the number.
LET THE UNKNOWN NUMBER BE X
\(x - 4( \frac{1}{x} ) = 3 \\ \\ x - \frac{4}{x} = 3 \\ x(x) - \frac{4}{x} (x) = 3(x) \\ {x}^{2} - 4 = 3x \\ {x}^{2} - 3x - 4 = 0 \\ (x - 4)(x + 1) = 0 \\ x - 4 = 0 \\ or\\ x + 1 = 0 \\ x = 4 \\ \\ or \\ x = - 1\)
NOTE THERE ARE TWO SOLUTIONS FOR THIS PROBLEM
THE ANSWER IS 4 AND -1.
What is the solution set of the following equation? 4\5^2= 2x- 4\5
Answer:
x = 18/25
Step-by-step explanation:
(4/5)² = 2x - 4/5
16/25 = 2x - 4/5
16/25 = 2x - 20/25
36/25 = 2x
x = 18/25
Answer:
x= 18/25
Step-by-step explanation:
Which linear function represents the line given by the point slope equation y 1 3 x 5 )? F x 3x 6 f/x 3x 4 F x 3x 16 F x 3x 14?.
The linear function which represents the line is y = - 3x + 14.
What is Point slope form?
Point slope form is used to represent a straight line using its slope and a point on the line. It means that the equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point-slope form.
Main body:
y - y1 = m (x - x1)
where, (x, y) is a random point on the line and m is the slope of the line.
The given point-slope equation is
y + 1 = - 3 (x - 5)
By further calculation
y + 1 = -3x + 15
y = -3x + 15 - 1
y = -3x + 14
Therefore, the linear function which represents the line is y = - 3x + 14.
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John bikes at a speed of 10 miles per hour. His friend Brian is slower, his biking speed is only
8 miles per hour.
c
Today the boys went for a 20 miles trip, each boy was biking at his usual speed. How long did John wait for Brian at the finish line?
Answer:
1/2 hours
Step-by-step explanation:
The square root of 14-8√3
The square root of √(14 - 8√3) simplifies to ±√(14 + 8√3).
To simplify the expression √(14 - 8√3), we can follow these steps:
Let's assume √(14 - 8√3) = x.
Square both sides of the equation to eliminate the square root:
(√(14 - 8√3))² = x²
14 - 8√3 = x²
Rearrange the equation to isolate the radical term:
8√3 = x² - 14
To simplify further, let's solve for x by isolating the radical term:
x² = 8√3 + 14
x² = 14 + 8√3
Now, we can solve for x by taking the square root of both sides:
x = ±√(14 + 8√3)
In order to simplify the phrase (14 - 8), we may do the following:
Assume that (14 - 83) equals x.
To get rid of the square root, square both sides of the equation:
(√(14 - 8√3))² = x²
14 - 8√3 = x²
To find the radical term, reorder the equation:
8√3 = x² - 14
Let's solve for x using the radical term alone to further simplify the problem:
x² = 8√3 + 14 x² = 14 + 8√3
By taking the square root of both sides, we can now find x:
x = ±√(14 + 8√3)
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a sequence that has a subsequence that is bounded but contains no subsequence that converges.
There exists a sequence with a bounded subsequence but no convergent subsequences.
In mathematics, it is possible to have a sequence that contains a subsequence which is bounded but does not have any subsequence that converges. This means that although there are elements within the sequence that are limited within a certain range, there is no specific subsequence that approaches a definite value or limit.
To construct such a sequence, one approach is to alternate between two subsequences. Let's consider an example: {1, -1, 2, -2, 3, -3, ...}. Here, the positive terms form a subsequence {1, 2, 3, ...} which is unbounded, and the negative terms form another subsequence {-1, -2, -3, ...} which is also unbounded. However, no subsequence of this sequence converges because it oscillates between positive and negative values.
Therefore, this example demonstrates a sequence that contains a bounded subsequence but lacks any convergent subsequences.
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Cassandra is knitting a scarf. She increases the length of
the scarf by 25 centimeters each hour she knits. After 3
hours, the scarf is 125 centimeters long.
The initial length of the scarf is 50 centimeters.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
We can use the given information to find the rate at which Cassandra is knitting the scarf and the initial length of the scarf.
Let L be the initial length of the scarf in centimeters, and let r be the rate at which Cassandra is knitting the scarf in centimeters per hour. Then, we have:
L + 25h = length of scarf after h hours
Substituting h = 3 and the length of the scarf after 3 hours = 125, we get:
L + 25(3) = 125
L + 75 = 125
L = 50
Therefore, the initial length of the scarf is 50 centimeters.
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Cassandra is knitting a scarf. She increases the length of
the scarf by 25 centimeters each hour she knits. After 3
hours, the scarf is 125 centimeters long what is initial length of scarf.
Find a linear inequality with the following solution set. Each grid line represents one unit. [asy] size(200); fill((-2,-5)--(5,-5)--(5,5)--(3,5)--cycle,yellow); real ticklen=3; real tickspace=2; real ticklength=0.1cm; real axisarrowsize=0.14cm; pen axispen=black+1.3bp; real vectorarrowsize=0.2cm; real tickdown=-0.5; real tickdownlength=-0.15inch; real tickdownbase=0.3; real wholetickdown=tickdown; void rr_cartesian_axes(real xleft, real xright, real ybottom, real ytop, real xstep=1, real ystep=1, bool useticks=false, bool complexplane=false, bool usegrid=true) { import graph; real i; if(complexplane) { label("$\textnormal{Re}$",(xright,0),SE); label("$\textnormal{Im}$",(0,ytop),NW); } else { label("$x$",(xright+0.4,-0.5)); label("$y$",(-0.5,ytop+0.2)); } ylimits(ybottom,ytop); xlimits( xleft, xright); real[] TicksArrx,TicksArry; for(i=xleft+xstep; i 0.1) { TicksArrx.push(i); } } for(i=ybottom+ystep; i 0.1) { TicksArry.push(i); } } if(usegrid) { xaxis(BottomTop(extend=false), Ticks("%", TicksArrx ,pTick=gray(0.1),extend=true),p=invisible);//,above=true); yaxis(LeftRight(extend=false),Ticks("%", TicksArry ,pTick=gray(0.1),extend=true), p=invisible);//,Arrows); } if(useticks) { xequals(0, ymin=ybottom, ymax=ytop, p=black, Ticks("%",TicksArry , pTick=black+0.8bp,Size=ticklength), above=true, Arrows(size=axisarrowsize)); yequals(0, xmin=xleft, xmax=xright, p=black, Ticks("%",TicksArrx , pTick=black+0.8bp,Size=ticklength), above=true, Arrows(size=axisarrowsize)); } else { xequals(0, ymin=ybottom, ymax=ytop, p=axispen, above=true, Arrows(size=axisarrowsize)); yequals(0, xmin=xleft, xmax=xright, p=axispen, above=true, Arrows(size=axisarrowsize)); } }; draw((-2,-5)--(3,5),dashed+red, Arrows(size=axisarrowsize)); rr_cartesian_axes(-5,5,-5,5); f
The linear inequality of the graph is: -x + 2y + 1 > 0
How to determine the linear inequality?First, we calculate the slope of the dashed line using:
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Two points on the graph are:
(1, 0) and (3, 1)
The slope (m) is:
\(m = \frac{1 - 0}{3 - 1}\)
This gives
m = 0.5
The equation of the line is calculated as:
\(y = m(x -x_1) + y_1\)
So, we have;
\(y = 0.5(x -1) + 0\)
This gives
\(y = 0.5x -0.5\)
Multiply through by 2
\(2y = x - 1\)
Now, we convert the equation to an inequality.
The line on the graph is a dashed line. This means that the inequality is either > or <.
Also, the upper region of the graph that is shaded means that the inequality is >.
So, the equation becomes
2y > x - 1
Rewrite as:
-x + 2y + 1 > 0
So, the linear inequality is: -x + 2y + 1 > 0
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Complete question
Find a linear inequality with the following solution set. Each grid line represents one unit. (Give your answer in the form ax+by+c>0 or ax+by+c \(\geq\) 0 where a, b, and c are integers with no common factor greater than 1.)
The sixth-grade art students are making a mosaic using tiles in the shape of right triangles. each tile has leg measures of 5 cm and 6 cm. if there are
150 tiles in the mosaic, what is the area of the mosaic?
a 10 cm2
b 2250 cm 2
c 165 cm2
d 4500 cm2
Answer:
Below in bold.
Step-by-step explanation:
The area of each triangle = 1/2 * height * base
As it is a right triangle the height is equal to one of its sides, so
Area of 1 triangle = 1/2 * 6 * 5
= 15 cm^2
Area of mosaic = 150 * 15
= 2250cm^2.
Algebra2 8.2 Practice a problems
Step-by-step explanation:
Given the angle 10 let's add 360 and see if the angle is in the interval.
\(10 + 360 = 370\)
However,
\(10 - 360 = - 350\)
So the coterminal angle is
-350
For question 2, subtract 360
\(180 - 360 = - 180\)
what is (−1)(−16)(13) =
Answer:
208
Step-by-step explanation:
(-1)(-16)=16
16×13=208
Can you help me solve this!
Hello!
surface area
= 2(6*2) + 2(4*2) + 4*6
= 2*12 + 2*8 + 24
= 24 + 16 + 24
= 64 square inches
3 less than the product of a number and 8?
Answer:
x · 8 - 3
Step-by-step explanation:
Answer:
8x-3
3 is being taken from 8 and a number. 8 and the number are being multiplied together
Interest is compounded semianually. Find the amount in the account after the given time. Principal Rate of Interest Time $2000 6% 3 years The amount in the account is $? (Round to the nearest cent)
Answer:
$2837.04
Step-by-step explanation:
semi-annually = every 6 month
p=2000
i=6%
t=3 years = 6 periods
compound 6 times in 3years = (1+6%)^6 =1.418519
multiply principal of $2000 = 2837.04
What is the distance on the unit circle between successive fourth roots of root3/2 - 1/2i
The distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.
To find the distance between successive fourth roots of a complex number on the unit circle, we can use the concept of the angle between the roots. Let's proceed step by step:
The given complex number is √3/2 - 1/2i. This complex number lies on the unit circle because its magnitude is equal to 1.
1. Convert the given complex number to trigonometric form:
√3/2 - 1/2i = cos(θ) + i*sin(θ)
By comparing the real and imaginary parts, we can determine the angle θ:
cos(θ) = √3/2
sin(θ) = -1/2
Using the unit circle, we can find that θ = 5π/6 (or 150 degrees). This angle represents the position of the given complex number on the unit circle.
2. Find the angle between successive fourth roots:
Since we are interested in the fourth roots, we divide the angle θ by 4:
θ/4 = (5π/6) / 4 = 5π/24
This angle represents the angular distance between two successive fourth roots on the unit circle.
3. Calculate the distance between the two points:
To find the distance, we multiply the angular distance by the radius of the unit circle (which is 1):
Distance = (5π/24) * 1 = 5π/24
Therefore, the distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.
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Find the missing lengths.
Answer:
x = 5√2
Step-by-step explanation:
The triangle on the right is a special right triangle, so we know that the adjacent side to 60° is 5. Since the left triangle is a 45-45-90, the hypotenuse is the leg times √2, so the value of x is 5√2
e table shows the height of a candle as it is continuously burned. a 2-column table with 5 rows. the first column is labeled time (hours) with entries 0, 0.25, 0.5, 0.75, 1. the second column is labeled height (centimeters) with entries 25, 24.375, 23.75, 23.125, 22.5. which statement describes the candle? the candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour. the candle starts at a height of 25 centimeters and burns at a rate of 2.5 centimeters per hour. the candle starts at a height of 22.5 centimeters and burns at a rate of 0.625 centimeters per hour. the candle starts at a height of 22.5 centimeters and burns at a rate of 2.5 centimeters per hour.
The candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour.
What is the initial height and burning rate of the candle?The given table shows the height of a candle as it burns continuously over time. The first column represents time in hours, ranging from 0 to 1, while the second column represents the corresponding height in centimeters.
From the data, we can observe that the candle starts at a height of 25 centimeters when the time is 0 hours. As time progresses, the height of the candle decreases gradually. Specifically, for every hour that passes, the candle burns 0.625 centimeters.
Therefore, the main answer is that the candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour.
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HELPPP PLSSS ITS DUE TOMORROW
Show your work. a2 + b2 = c2
c is the side length of the hypotenuse. c2 is the hypotenuse side length multiplied by itself. You need to find the square root of the c2 value in order to solve for c.
We'll be using the Pythagoras property to solve this question.
According to the Pythagoras property,
H² = B² + P²H denotes hypotenuse
B denotes base
P denotes perpendicular
Here,
H = xP = 35 cmB = 12 cm→ (x)² = (35 cm)² + (12 cm)²
→ x² = 1225 cm² + 144 cm²
→ x² = 1369 cm²
→ x = √(1369 cm²)
→ x = 37 cm
Therefore, value of x is 37 cm.
2(3r + 7) - (2 + r)