Answer:
90.27mm
Step-by-step explanation:
radius=16mm
diameter=16mm x 2
=32mm
total length=1/2 x pi x 32mm +20mm+20mm
= 90.27mm (nearest hundredth)
Answer:
90.27 mm (nearest hundredth)
Step-by-step explanation:
Circumference of a circle = \(2\pi r\) (where r is the radius)
Therefore, the arc length = 1/2 x 2 x \(\pi\) x 16 = 16\(\pi\)
So total perimeter = 2 x 20 + 16\(\pi\) = 90.27 mm (nearest hundredth)
I need some help with this problem
Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))
the math club member are preparing indentical welcome kits. they have 60 pencils and 48 memo pads what is the greatest number of welcome kits they can make using all of them
The table compares the average daily temperature and ice cream sales each day.
Temperature (°F) Ice Cream Sales
58.2 $112
64.2 $135
64.3 $138
66.8 $146
68.4 $166
71.6 $180
72.7 $188
76.2 $199
77.8 $220
82.8 $280
Using technology, determine the line of fit, where x represents the average daily temperature and y represents the total ice cream sales. Round values to the nearest tenth.
ŷ = 3.8x − 109.2
ŷ = −3.8xx − 109.2
ŷ = 6.5x − 279.1
ŷ = −6.5x − 279.1
The correct equation representing the Line of fit is ŷ = 3.8x - 109.2.
The line of fit for the given data, we can use regression analysis with technology. The equation that represents the line of fit is in the form ŷ = mx + b, where ŷ is the predicted value, x is the average daily temperature, m is the slope of the line, and b is the y-intercept.
Using the given data and regression analysis, we obtain the equation:
ŷ = 3.8x - 109.2
Therefore, the correct equation representing the line of fit for the data is ŷ = 3.8x - 109.2.
This equation indicates that for every increase of 1 degree Fahrenheit in the average daily temperature, the total ice cream sales are predicted to increase by 3.8 units. The negative y-intercept of -109.2 suggests that when the average daily temperature is 0 degrees Fahrenheit, the predicted ice cream sales would be $109.2.
the negative sign in front of the x coefficient (-3.8x) or (-6.5x) would not be appropriate in this case since we observe a positive correlation between the temperature and ice cream sales. Therefore, the equations ŷ = −3.8x − 109.2 and ŷ = −6.5x − 279.1 are incorrect.
In conclusion, the correct equation representing the line of fit is ŷ = 3.8x - 109.2.
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Which angles are verticals angle in the figure below. Pick 2.
Answer:
b) ∠x and ∠z
e) ∠b and ∠d
Step-by-step explanation:
Vertical angles are angles that are opposite of each other. They are also congruent. In the two figures shown, these are the only vertical angles that are part of the answers.
F
G
H
J
If the diameter of a circle is 16 cm and the
intercepted arc length is 6m, what is the
measure of the central angle in radians?
3
8
3
7T
3
T
3²7
The measure of the central angle is 0.75 radians
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
The length of an arc with an angle of Ф is given by:
Length of arc = (Ф/360) * (π * diameter)
The diameter is 16 cm and intercepted arc length is 6 cm, hence:
Length of arc = (Ф/360) * (π * diameter)
6 = (Ф/360) * (π * 16)
Ф = 42.97°
Ф = 42.97° * π/180 = 0.75 radian
The measure of the central angle is 0.75 radians
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If you invest this money $7,185.51 each month in an account that compounds monthly with an APR of 2.5%, how much will you have saved i) after 1 year? ii) after 3 years?
He would have saved $87,221.02 after 1 year
He would have saved $268,335.90 after 3 years
What is an ordinary annuity?
An ordinary annuity means a fixed amount invested at specific intervals, in this case, $7,185.51 is invested monthly, which means that its future value can be computed using the future value formula of an ordinary annuity as shown below:
FV=PMT*(1+r)^N-1/r
FV=future value of an ordinary annuity
PMT=monthly payment invested every month
r=monthly interest rate=annual interest/12
N=number of months that monthly payments were
FV after 1 year:
PMT=$7,185.51
r=monthly interest rate=2.5%/12=0.00208333333333333
N=number of months in 1 year=12
FV=$7,185.51*(1+0.00208333333333333)^12-1/0.00208333333333333
FV=$7,185.51*(1.00208333333333333)^12-1/0.00208333333333333
FV=$7,185.51*0.02528845698324970/0.00208333333333333
FV=$87,221.02
FV after 3 years:
PMT=$7,185.51
r=monthly interest rate=2.5%/12=0.00208333333333333
N=number of months in 3 years=36
FV=$7,185.51*(1+0.00208333333333333)^36-1/0.00208333333333333
FV=$268,335.90
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If a case of 24 water bottles is $8 per case, how much are you paying for each bottle?
Jemma and Debra work as consults. They both get hired for jobs. Jemma charges a fee of $5 plus an additional $22 per hour. Debra charges $20 per hour. Write an expression that
Answer:
Jemma: 22x + 5
Debra: 20x
Step-by-step explanation:
Please help
20) x/4 = 9
21) a/5 = 7
22) n/3 = 29
23) n/3 = 10
24) y/5 = 24
The values of the variables are x = 36, a = 35, n = 87, n = 30 and y = 120
How to determine the value of the expressionFrom the question, we have the following parameters that can be used in our computation:
20) x/4 = 9
21) a/5 = 7
22) n/3 = 29
23) n/3 = 10
24) y/5 = 24
To do this, we use the property of multiplication to solve for the variable in each equation
So, we have
x = 4*9 = 36
a = 5*7 = 35
n = 3*29 = 87
n = 3*10 = 30
y = 5*24 = 120
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4. P/E Ratios. Favorita Candy’s stock is expected to earn $2.40 per share this year. Its P/E ratio is 18. What is the stock price? (LO7-1)
Answer:
2.4*18 = $43.2
stock price is $43.2
Step-by-step explanation:
Bob measured a restaurant and made a scale drawing. The scale of the drawing was 8 millimeters = 4 meters. What is the drawing's scale factor?
meter =1,000 millimeters. So, the scale is:
7 mm:1,000 mm Divide both sides by 7
1 mm:142 6/7 mm - This is the scale that Tess used.
Hi can someone please answer and explain all you work thank you! I’ll mark brainliest
What is the range of the following set of
points (3.4), (7-2). (11-8))?
Answer:
The range of the following set of points is {4, -2, -8}
Step-by-step explanation:
The domain of a set of ordered pairs is the values of x-coordinates of all ordered pairsThe range of a set of ordered pairs is the values of y-coordinates of all ordered pairsEx: In the set of points {(1, 3), (-4, 5), (2, -5)} the domain is {1, -4, 2} and the range is {3, 5, -5}∵ The set of points is {(3, 4), (7, -2), (11, -8)}
∵ The range is the y-coordinates of these points
∵ The y-coordinates of the points are 4, -2, -8
∴ The range is {4, -2, -8}
∴ The range of the following set of points is {4, -2, -8}
Find u. See image below.
The value of u is 2 in the given right-angled triangle.
The given figure is a right-angled triangle with hypotenuse 'u' and the other two sides as \(\sqrt{2}\) and v.
We have to find the value of 'u' using Pythagoras theorem or trigonometric identities.
What is Pythagoras theorem?It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In a right-angled triangle ABC, if
BC = hypotenuse
AC and AB are the other two sides then,
\(BC^2 = AC^2 + AB^2\).
For this problem, we can find the value of u by using trigonometric identities.
From the figure, we have an angle of 45°.
Consider Cos 45°.
Cos Ф = base / hypotenuse
Cos 45° = \(\sqrt{2}\) / u ...........(1)
From trigonometric identities of cosine.
We have,
Cos 45° = 1 / \(\sqrt{2}\)............(2)
From (1) and (2)
We get,
1 / \(\sqrt{2}\) = \(\sqrt{2}\) / u
u = 2.
Thus the value of u is 2 in the given right-angled triangle.
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Which of the following is the solution set for -3t + 11 > 20?
t > -3
t > 3
t < -3
t < 3
Answer: C. t < -3
Hope this helps!
Answer: C. t < -3
Because i made a 100 on my test
What is a polynomial with a single root at x = -4 and a double root at x = 1?
You must write the polynomial in standard form, ax^n + ... + cx + d, using integers and decimals, but not fractions or parentheses
The polynomial in standard form with the given zeros is:
y = x³ + 2x² - 7x + 4
How to write the polynomial?First, we know that our polynomial has a single root at x = -4 and a double root at x = 1, then we can write the polynomial as:
y = (x - (-4))*(x - 1)*(x - 1)
Expanding the product, we get:
y = (x + 4)*(x - 1)*(x - 1) = (x + 4)*(x² - 2x + 1)
y = x³ - 2x² + x + 4x² - 8x + 4
y = x³ + 2x² - 7x + 4
That is the polynomial with the given zeros.
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i need the answer to both questions 2 and 3, -algebra
(1) The expression for the apparent nth term aₙ of the sequence is aₙ = (n + 5) / (4n - 1).
(2) The expression for the apparent nth term aₙ of the sequence is aₙ = 1 / (n(n+1)).
What is the sequence for the apparent nth term?
The expression for the apparent nth term aₙ of the sequence is determined as follows.
For the first question, the sequence appears to have the form:
aₙ = (n + 5) / (4n - 1)
For example;
when n = 1, we have;
a₁ = (1 + 5) / (4x1 - 1) = ⁶/₃
When n = 2, we have;
a₂ = (2 + 5) / (4x2 - 1) = ⁷/₇. And so on.
For the second question, the sequence appears to have the form:
aₙ = 1 / (n(n+1))
For example;
when n = 1, we have;
a₁ = 1 / (12) = ¹/₂.
When n = 2, we have
a₂ = 1 / (23) = ¹/₆. And so on.
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The complete question is below:
1. write an expression for the apparent nth term aₙ of the sequence ( assume that n begins with 1)
⁶/₃, ⁷/₇, ⁸/₁₁, ⁹/₁₅, ¹⁰/₁₉, ....
aₙ = ?
2. write an expression for the apparent nth term aₙ of the sequence ( assume that n begins with 1)
1, ¹/₂, ¹/₆, ¹/₂₄, ¹/₁₂₀, ....
aₙ = ?
How do i do this problem
Answer:
no clue
Step-by-step explanation:
This year, the ratio of Alan's age to Bernice's age is 1:2. Four years ago, the total age of Alan and Bernice was 55 years. How old is Alan this year?
Answer:
21 years old
Step-by-step explanation:
Set Alan's age as x, Bernice's age as y
2x=y
x-4+y-4=55
x+y=63
3y=63
x=21
y=42
Please help me with these 2 questions :(
Answer:
1st: y=-2x-3
2nd:y=-2x-13
Step-by-step explanation:
Since the line is parallel to y = -2x-4, its slope is -2. Therefore, we have the equation y=-2x
But when we evaluate that equation at -1, we get -2(-1)=2, but we want to make it equal to -1 when evaluated at -1. Therefore, we can subtract 3, as 2-3=-1.
Therefore, the equation is y=-2x-3.
For the second question, we can use a similar concept. The slope will be -2, but if you directly evaluate it at -4, it's going to be 8, but we want it to be -5, so we subtract 13.
Therefore, the equation is y=-2x-13
Problem 1
Answer: y = -2x-3--------------
Explanation:
Parallel lines have equal slopes but different y intercepts.
Linear equations in the form y = mx+b have slope m and y intercept b.
The slope of y = -2x-4 is m = -2
So any parallel line to this will also have m = -2
Plug (x,y) = (-1,-1) along with the value of m, into y = mx+b and solve for b
y = mx+b
-1 = -2(-1)+b
-1 = 2+b
2+b = -1
b = -1-2
b = -3
The parallel line is y = -2x-3
==============================================
Problem 2
Answer: y = -2x-13--------------
Explanation:
We'll use the same ideas and steps as problem 1.
y = -2x-5 has slope m = -2
The parallel line also has slope m = -2
We want the parallel line to go through (x,y) = (-4,-5)
So,
y = mx+b
-5 = -2(-4)+b
-5 = 8+b
8+b = -5
b = -5-8
b = -13
The parallel line is y = -2x-13
What is the value of x in the model below?
x x x AA
X
х
Х
O 3
O-1
0-2
O-3
Answer:
The value of x is 3, in the shown model
Option A is correct, the value of x in the given model is 3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation of the given model is given as 4x-2=3x+1
Four times of x minus two equal to three times of x plus one.
We need to find the value of x
x is the variable and plus and minus are the operators of addition and subtraction.
Let us take the variable x terms on one side and constant on other side
4x-3x=2+1
x=3
Hence, the value of x in the given model is 3.
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Two towns are 1150 miles apart. A group of hikers starts from each town and walks down the trail toward each other. They meet after a total hiking time of 220 hours. If one group travels 1 1/2 mile per hour slower than the other group, find the rate of each group.
The rate of the slower group is?
The rate of the faster group is?
The rate of each group was 1.86 mph and 3.36 mph.
Given that the two towns are 1150 miles apart.
A group of hikers from each town meet after a total hiking time of 220 hours.
One group travels 1 1/2 mile per hour slower than the other group,
We need to find the rate of each group,
So, let use consider, distance travelled by one group = x miles,
Therefore, second group travelled = 1150 - x miles.
Rate of first group = y mph
Rate of second group = y - 3/2 mph
Rate = distance / time
So,
y = x / 220
x = 220y.............(i)
Similarly,
y-3/2 = 1150 - x / 220
220y - 330 = 1150 - x
Using eq (i)
220y - 330 = 1150 - 220y
440y = 1480
y = 3.36
y - 3/2 = 1.86
Hence the rate of each group was 1.86 mph and 3.36 mph.
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5.A store had five different lengths of extension cords for sale. Four of the
lengths were 9 feet, 10 feet, 12 feet, and 8 feet. The range of the lengths
of all the extension cords was 6 feet. Which could be the length of the fifth
size of extension cords?
Answer:
Your answer is 6 feet because if the rang is 6 than the fith number would be 6.
Rang is the maximum number in this cause is 12, minis the minimum.
A weather forecaster claimed the chance of rain next week on Monday is 50% and the chance it rains on Tuesday is 80%. Is the probability that it rains next
Monday and Tuesday equal to 40%?
O Yes, because the chance of rain on Monday and the chance of rain on Tuesday are independent.
O No, because the chance of rain on Monday and the chance of rain on Tuesday are not independent.
O No, because the chance of rain Monday and the chance of rain Tuesday are not mutually exclusive.
O Yes, because the chance of rain on Monday and the chance of rain on Tuesday are mutually exclusive,
Answer:
A: Yes, because the chance of rain on Monday and the chance of rain on Tuesday are independent.
Step-by-step explanation:
We are given;
chance of rain next week on Monday is 50%. Thus;
P(rain next Monday) = 0.5
chance it rains on Tuesday is 80%. Thus;
P(rain next Tuesday) = 0.8
From independent events, we can say that;
P(A and B) = P(A) × P(B)
A and B are independent events because the probability of A doesn't affect B as is the case for rain on Monday and Tuesday given.
Thus;
P(rain on Monday & tuesday next week) = 0.5 × 0.8 = 0.4
This can also be written as 40%
Correct answer is option A since both events are independent
Help help math math math
Answer:
2
Step-by-step explanation:
\(\frac{3-1}{2-1}=\frac{2}{1}=2\) \(\left\{\frac{y_1-y_2}{x_1-x_2}=slope\right\}\)
slope = 2
I hope this helps you
:)
The answer is 2. Hope this helps :)
The coordinates of the vertices of □PQR are (-2,5), Q(-1,), and R(7,3). Determine whether □ PQR is a right triangle. Show Your Work. ( Will Mark Brainliest and please Do Not Repost Someone Else's Answer On Here.
Answer:
Slope of PQ
m
r
=
y
Q
−
y
P
x
Q
−
x
P
=
1
−
5
−
1
−
(
−
2
)
=
−
4
Slope of QR
m
p
=
y
R
−
y
Q
x
R
−
x
Q
=
3
−
1
7
−
(
−
1
)
=
1
4
Slope of RP
m
q
=
y
R
−
y
P
x
R
−
x
P
=
3
−
5
7
−
5
=
−
1
Since slopes PQ & PR,
m
r
=
−
1
m
p
, it's a right triangle
The table shows the relationship between the number of grapes and the number of carrots a toddler has in a day. The number of grapes per carrot is constant Which statement about the number of grapes per carrot is true?
The toddler has 2 grapes per carrot and 11 carrots on the day he or she has 22 grapes is true. The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
It is asserted that the four fundamental operations, also referred to as "arithmetic operations," may adequately explain all real numbers. Quotient, product, sum, and difference are the operations in mathematics that come after division, multiplication, addition, and subtraction.
We are given a table which shows the relationship between the number of grapes and the number of carrots a toddler has in a day.
From this, we get that the toddler has 2 grapes per carrot
This is because when we divide the number of grapes with the number of carrots, for each value we get 2.
Similarly, on the day when the toddler has 22 grapes, the number of carrots will be obtained by using division operation which is as follows:
\(\frac{22}{2}\) = 11
Hence, the first statement about the number of grapes per carrot is true.
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The complete question has been attached below
Which term can be added to the list so that the greatest common factor of the three terms is 12h3?
36h3, 12h6, __________
The term that can be added to the list so that the greatest common factor of the three terms 12h3 36h3, 12h6, is 48h5
How can the term be known?A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.
The term that can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12 without any fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.
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it is 4.5 miles from moulton to filby via Burnham and denton how far is it between denton and filby
Answer: I think that the answer is 3/4 miles
Step-by-step explanation:
A shop is opened at 7.45 am and closed at 6.30 pm on each day from Monday to Friday. Calculate the total time the shop is opened from Monday to Friday.
Answer:
53 hours and 45 minutes
Step-by-step explanation:
since they open for 10 hours and 45 minutes a day.
10*5=50 hours, 45*5=225 minutes
add the minutes and hours together and it is 53 hours and 45 minutes