7.1 cm long is the arc intersected by a central angle .
What is length of an arc?
The arc length of a circle can be calculated with the radius and central angle using the arc length formula. Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.Given,
Central angle = π / 2
radius = 4.5 cm
we apply formula of length of arc.
length of the arc = angle × radius
= (π/2) × (4.5 cm)
Now put value of π = 3.14
length of the arc = (3.14 / 2) × (4.5) cm
= 7.065 cm ≈ 7.1 cm
Therefore, 7.1 cm long is the arc intersected by a central angle .
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Quadrilateral ABCD has vertices at A(0,0), B(0,3), C(5,3), and D(5,0). Find the vertices of the quadrilateral after a dilation with scale factor 2.5.
PLS ANSWER ASAP
The vertices of the quadrilateral after a dilation with scale factor 2.5 are A' = (0, 0), B' = (0,7.5), C' = (12.5, 7.5) and D' = (12.5, 0)
How to determine the vertices of the quadrilateral after a dilation with scale factor 2.5?The coordinates of the quadrilateral ABCD are given as:
A(0,0), B(0,3), C(5,3), and D(5,0)
When dilated by a scale factor of 2.5, we have the following equation
A' = A * 2.5
So, we have:
A' = (0,0) * 2.5
A' = (0, 0)
B' = (0,3) * 2.5
B' = (0, 7.5)
C' = (5,3) * 2.5
C' = (12.5, 7.5)
D' = (5,0) * 2.5
D' = (12.5, 0)
Hence, the vertices of the quadrilateral after a dilation with scale factor 2.5 are A' = (0, 0), B' = (0,7.5), C' = (12.5, 7.5) and D' = (12.5, 0)
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what are the minimum and maximum temperatures in the house ?
Answer:
I mean, I think it varies by house and by location but a general range would be:
Min: 64 *F
Max: 74 *F
Complete the inequality statement.
13.01 ___ 13.1
1. =
2. >
3.
13.1 = 13.10
---> 13.1 > 13.01
---> 13.01 < 13.1
The correct answer is <
johns first three test scores out of 100 are 84,78,82. what did he score on his fourth test if the average for all four tests is 80 out of 100
Answer:
76
Step-by-step explanation:
Formula
[tex]\sf Average=\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}[/tex]
Given values:
First three test scores: 84, 78 and 82Total number of tests = 4Average score for all four tests = 80Let x be the score of the fourth test.
To find the score of the fourth test, substitute the given values into the formula and solve for x:
[tex]\begin{aligned} \sf Average & =\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}\\\\\implies \sf 80 & = \sf \dfrac{84+78+82+x}{4}\\\sf 80 & = \sf \dfrac{244+x}{4}\\\sf 80 \cdot 4 & = \sf 244 + x \\\sf 320 & = \sf 244 + x\\\implies \sf x & = \sf 320 - 244\\& = \sf 76\end{aligned}[/tex]
Therefore, John scored 76 on his fourth test.
Alina measured a distance to be 2.18 miles. what is the margin of error? 2.1 miles to 2.2 miles 2.175 miles to 2.185 miles 2.185 miles to 2.195 miles 2.2 miles to 2.3 cm
Answer:
(b) 2.175 miles to 2.185 miles
Step-by-step explanation:
When a value is rounded, the original "exact" value is presumed to be within 1/2 of the value of one least-significant unit of the rounded number.
ApplicationA rounded value of 2.18 has a least-significant digit with a place value of 0.01 units. Half that value is the "margin of error". That is, the range of numbers that would be rounded to 2.18 is ...
2.18-0.005 ≤ x < 2.18+0.005
2.175 ≤ x < 2.185 . . . . miles
If six cans of soda cost nine dollars, how much would it cost for 8 cans.
Answer:
Solution:
here,
6 cans cost = 9 dollars
1 can costs = 9÷6 dollars
= 1.5 dollars
Now,
8 cans cost = 8×1.5 dollars
= 12 dollars
what part of an hour passes between 11:24 am and 415 am
Using proportions, it is found that 1685% of an hour passes between 11:24 am and 415 am.
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 or inverse proportional, can be built to find the desired measures in the problem.
One hour is composed by 60 minutes. Between 11:24 am and 4:15 am, there are 16 hours and 51 minutes, hence the number of minutes is given by:
M = 16 x 60 + 51 = 1011 minutes.
As a percentage of one hour = 60 minutes, we have that this measure is:
1011/60 x 100% = 1685%.
Hence 1685% of an hour passes between 11:24 am and 415 am.
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Can someone help me with this?
20 points for the Answer to this
Thank You for leaving your answer here!
Answer:
182000
Step-by-step explanation:
4.82 x 10^5
1.
10^5 is equal to 10 being multiplied 5 times. So this can be expressed as:
10 x 10 x 10 x 10 x 10.
When you multiply 10s, you just add the number of zeros next to one.
==> 100000 (5 zeros total)
2.
We multiply 100000 to 4.82.
100000 x 4.82 = 182000
So our final answer will be 182000.
Answer:
482,000.
Step-by-step explanation:
The 5 tells us this number is 6 digits long.
The answer is
482,000
PLEASE HELP IM DTUCK
Answer:
Future Amount ≈ 32
Step-by-step explanation:
substitute x = 8 into the given formula , that is
future amount = 16[tex](1.09)^{8}[/tex] = 16 × 1.99256.. ≈ 32 ( nearest whole number )
What’s 400.00 - 172.98 I know the answer I just need to know how to get it
Answer:
227.02
Step-by-step explanation:
[tex]400.00-172.98 \\ \\ =300 - 72.98 \\ \\ =230-2.98 \\ \\ =228-0.98 \\ \\ =227.02[/tex]
Answer:
227.02
Step-by-step explanation:
[tex]400.00\\-172.98[/tex]
To solve: First subtract 172 from 400, resulting in 228, then you may subtract the 0.98, leaving 227.02.
A sampling method is _________ when the individuals selected for one sample are used to determine the individuals in the second sample.
Answer:
someone please help me check my page
someone please help me check my pageStep-by-step explanation:
Help is needed!!!!! im bad at math :,)
Answer:
Step-by-step explanation:
A= π(5)²
= 3.14(5)²
= 3.14(25)
= 78.5 ans
please help with this i genuinely have no clue how to figure it out
Answer: c = 520
Step-by-step explanation:
f(2) = 578 means that when x = 2, the value is equal to 578. We will plug these knowns in and then solve for c.
Given:
f(x) = 4x³ + 7x² - x + c
Substitute:
578 = 4(2)³ + 7(2)² - (2) + c
Distribute:
578 = 4 * 2³ + 7 * 2² - 2 + c
Raise to the power of 3 and 2:
578 = 4 * 8 + 7 * 4 - 2 + c
Multiply:
578 = 32 + 28 - 2 + c
Add:
578 = 60 - 2 + c
Subtract:
578 = 58 + c
Subtract 58 from both sides:
520 = c
Reflexive property:
c = 520
[tex] \huge\mathbb{ \underline{SOLUTION :}}[/tex]
Given:
[tex]\longrightarrow\bold{f(x) = 4x^3 + 7x2 −x + c}[/tex]
[tex]\longrightarrow\sf{578= 32+28 −2+ c}[/tex]
[tex]\longrightarrow\sf{578 =58+ c}[/tex]
[tex]\longrightarrow\sf{c = 578-58}[/tex]
[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]
[tex]\longrightarrow\sf{c= 520}[/tex]
What is the equation of a line in slope-intercept form, of the line that passes through (0, 12) and has a slope of -5?
Answer:
y=-5x-12/5
Step-by-step explanation:
First you need to find y intercept
y=mx+b
plug in the points (0,12)
12=mx+0
now plug in -5
12=-5x+0
subtract 0 from both side
12=-5x
divide -5 from both side.
x=12/-5
Our of the four runners: Alex, Ben, Curtis, and Dan, the oldest came in second place. Alex ran the distance faster than Curtis, and Dan ran faster than Ben and Curtis. It is also known, that Ben is older than Alex, and Curtis is older than Dan. In what order did the four runners finish?
Considering the situation described, the classification of the runners is given as follows:
Dan - Ben - Alex - Curtis.
What is the classification of the runners?The oldest came in second place. Ben is older than Alex, and Curtis is older than Dan, hence either Ben or Curtis finished second.
Alex ran the distance faster than Curtis, and Dan ran faster than Ben and Curtis, hence considering the above observation Ben finished second and the classification is:
Dan - Ben - Alex - Curtis.
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Write the function in terms of unit step functions. find the laplace transform of the given function. f(t) = t, 0 ≤ t < 5 0, t ≥ 5
The Laplace transform of the given function is [tex]f(s)=\frac{1-e^{-5s}(1-5s) }{s^{2} }[/tex]
Given,
[tex]f(t)=\left \{ {{t, 0\leq t < 5} \atop {0,t\geq 5}} \right.[/tex]
Write the function in unit step function.
[tex]f(t)=t(u_{0}(t)-u_{5} (t))[/tex]
= [tex]t(1-u_{5}(t))[/tex] ∵[tex]u_{0} (t)=1[/tex]
= [tex]t-tu_{5} (t)[/tex]
[tex]f(t)=t-tu_{5} (t)[/tex]
In order to make it easier to take the Laplace transform of the function, we can follow the steps:
[tex]f(t)=t-tu_{5} (t)[/tex]
= [tex]t-(t-5+5)u_{5} (t)[/tex]
= [tex]t-(t-5)u_{5} (t)+5u_{5} (t)[/tex]
[tex]f(t)=t-(t-5)u_{5} (t)+5u_{5} (t)[/tex]
We need to find the Laplace transform of f(t).
Apply Laplace transform on both sides,
£[tex][f(t)=[/tex]£[tex](t)-[/tex]£[tex](t-5)u_{5} (t))+5[/tex]£[tex](u_{5} (t))[/tex]
= [tex]\frac{1}{s^{2} } -e^{-s}[/tex]£[tex](t)+5(\frac{e^{-5s} }{s} )[/tex]
= [tex]\frac{1}{s^{2} } -e^{-5s} (\frac{1}{s^{2} } )+\frac{5se^{-5s} }{s^{2} }[/tex]
= [tex]\frac{1-e^{-5s}+5se^{-5s} }{s^{2} }[/tex]
= [tex]\frac{1-e^{-5s}(1-5s) }{s^{2} }[/tex]
[tex]f(s) =\frac{1-e^{-5s}(1-5s) }{s^{2} }[/tex]
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I was wondering what C and how to solve for it because i dont really understand the problem
The measure of angle C is 35°.
Given that, ΔABC≅ΔDEF, ∠A=70°, ∠E=3x and ∠F=x+10.
What are congruent triangles?Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
In ΔABC and ΔDEF, corresponding angles are equal.
That is, ∠A=∠D=70°, ∠B=∠E=3x and ∠C=∠F=x+10
Now, ∠A+∠B+∠C=180° (∵angle sum property)
⇒70°+3x+x+10=180°
⇒4x=100°
⇒x=25°
Thus, ∠C=x+10=35°.
Therefore, the measure of angle C is 35°.
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Which of the following graphs represents the inequality? 4 ⪰ b
The solution to the inequality 4 ≥ b is represented in the graph
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
Inequality shows the non equal comparison between two or more numbers and variables.
Given the inequality:
4 ≥ b
Rearranging gives:
b ≤ 4
The solution to the inequality 4 ≥ b is represented in the graph
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Given g of x equals cube root of the quantity x minus 3, on what interval is the function positive? (–[infinity], –3) (–[infinity], 3) (–3, [infinity]) (3, [infinity])
the interval in which g(x) is positive is [3, ∞].
On what interval is the function positive?Here we have the function:
g(x) = ∛(x - 3)
The interval in which the function is positive is defined by:
g(x) > 0.
Then we have:
∛(x - 3) > 0.
We need to solve that inequality for x.
∛(x - 3) > 0
The cube root respects the sign of the argument, then:
x - 3 > 0
x > 3
Then the interval in which g(x) is positive is [3, ∞].
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Quick algebra 1 question for 50 points!
Only answer if you know the answer, Tysm!
Answer:
A) f(x) = x^2 +8(x+2)
Step-by-step explanation:
We will start by putting y=0
0 = x^2+8(x+2) -Apply distributive property
0 = x^2+8x+16
0=(x+4)(x+4)
0=x+4, 0=x+4
x=-4
There is only one zero, and that is x=-4
Brainiest would be appreciated.
First one
Because
If we solve for x
x²+8(x+2)=0x²+8x+16=0x²+4x+4x+16=0(x+4)(x+4)=0x=-4Option A
A long distance runner started on a course running at an average speed of 6mph. half an hour later, a second runner began the same course at an average speed of 7mph. how long after the second runner started will the second runner overtake the first runner?
9 hours long after the second runner started will the second runner overtake the first runner.
What does it mean to do speed?
Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement. Put another way, speed is a scalar value, while velocity is a vector.Runner I = 6 mph
Runner II = 7 mph
Difference in time= 90 minutes
Train A will have covered 9 miles before Runner II starts
catch up distance= 9 miles
catch up speed = 7-6 mph
catch up speed = 1 mph
Catchup time = catchup distance/catch up speed
catch up time= 9/1
catch up time= 9 hours
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4m^2-5m when m= -4 solve
Answer:
84
Step-by-step explanation:
4 (-4)^2 - 5(-4)
4 × 16 - 5 × -4
64 + 20
84
Divide $4800 between Kofi and Kweku so that Kofi gets three times what Kweku gets
Answer:
see explanation
Step-by-step explanation:
let x be the amount Kweku gets then Kofi gets 3x , so
x + 3x = 4800
4x = 4800 ( divide both sides by 4 )
x = 1200
that is
Kweku gets $1200
Kofi gets 3 × $1200 = $3600
F is a function that maps 6-bit binary strings to 4-bit binary strings. for x∈{0,1}6, f(x) is the string x with the last two bits removed. which property best describes the function f?
The property best describes the Function f IP 4- to- 1 Correspondance.
f is Nat Bijective since Not one-one.
x1= 010101 = 010111
then 2 and 7 2 maps to 0101
So f is mat one-one.
fip Mat 2 - to- 1 correspondance
Since
2 , = 0101 vo , 212 = 0101 01 , 23 = 010 / 1 1
One point 0101
go,
f is Not 2 - to- 1 correspondance.
7 12) is the storing a with the last two
bits mold so we have only $ possibility
of 4 strings going to a single storing.
f can not be 16 - to - 1 correspondance.
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There are 61 boxes of pencils in a store there are 14 pencils in each box how many pencils are in the store
5107465
State the value of digit in figures ?
Place value of 5 in 5107465 is equal to 5,000,000.
According to the statement
we have given that the a value and we have find the place value of a digit 5 in this numbers.
So, For this purpose,
The given digit is 5107465
And we have find the value of digit 5 in it so,
we know that,
A Place value is the position or place of a digit in a given number .
As we can see that, in given number 5107465:-
5 is at one million place = 5 * 1,000,000 = 5,000,000
1 is at hundred thousand place = 1 * 100000 = 100000
0 is at ten thousand place = 0 * 10000 = 0
7 is at thousand place = 7 * 1000 = 7000
4 is at hundred place = 4 * 100 = 400
6 is at tens place = 6 * 10 = 60
5 is at unit place = 5 * 1 = 5
Therefore,
Place value of 5 in 5107465 is equal to 5,000,000.
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Convert 2 ounces into grams. Round your answer to the nearest whole number
Answer: 57
I'm pretty sure that's what it is
Step-by-step explanation:
Could someone explain how to get the correct answer when trying to find the f(X) and g(X) on a graph like this? Thanks!
Answer:
f(3) = g (3)
Step-by-step explanation:
graphically, we notice that the graphs of f and g intersect
at the point of coordinates (3 , 0)
Then
f(3) = 6 = g(3)
Then
f(3) = g (3)
Joey paints old furniture and sells the pieces at craft fairs. the function f(t) approximates how many pieces of furniture he paints per hour. the function w(h) represents how many hours per week joey spends painting the pieces of furniture. what are the units of measurement for the composite function f(w(h))?
the units of measurement for the composite function f(w(h)) are - furniture/weeks
What are composite functions?function composition is an operation. that takes two functions f and g, and produces a function h = g . f such that h(x) = g. In this operation, the function g is applied to the result of applying the function f to x.
Let as consider the work f(t) approximates how numerous pieces of furniture he paints per hour. It implies unit of this work is furniture/hours. The work w(h) speaks to how numerous hours per week Joey spends portray the pieces of furniture. It implies unit of this work is hours/weeks. We have to be discover the units of estimation for the composite work f(w(h)). It the work f(w(h)), to begin with we ought to apply the work w(h) after that f(t).
[tex]f(w(h)) = \frac{furniture}{hours} (\frac{hours}{week} )\\f(w(h)) = \frac{furniture}{week}[/tex]
The units of measurement for the composite function f(w(h)) is furniture/weeks.
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I need help to complete this question
The complete fractional question given in the above picture is 55/3 = 1 + 52/3 = 2 + 49/3 = 5 + 40/3 = 8 + 31/3 = 10 + 25/3
FractionLet
Each empty box = x55/3 = 1 + x/3
55/3 = (3+x) / 3
55/3 × 3 = 3 + x
55 = 3 + x
55 - 3 = x
52 = x
55/3 = 2 + x/3
55/3 =(6+x) / 3
55/3 × 3 = 6+x
55 = 6 + x
55 - 6 = x
49 = x
55/3 = x + 40/3
55/3 = (3x+40) / 3
55/3 × 3 = 3x + 40
55 = 3x + 40
55 - 40 = 3x
15 = 3x
x = 15/3
x = 5
55/3 = x + 31/3
55/3 = (3x+31) / 3
55/3 × 3 = 3x + 31
55 = 3x + 31
55 - 31 = 3x
24 = 3x
x = 24/3
x = 8
55/3 = 10 + x/3
55/3 = (30+x) / 3
55/3 × 3 = 30 + x
55 = 30 + x
55 - 30 = x
25 = x
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