Rosie traveled a total distance of approximately 117 kilometers by the end of the 10th day, using the formula for the sum of a geometric series and rounding to the nearest kilometer.
To find the total distance that Rosie traveled by the end of the 10th day, we use the formula for the sum of a geometric series. The first term of this series is 18 kilometers and each subsequent term is 90% of the previous term, indicating a common ratio r of 0.9.
The formula for the sum of the first n terms of a geometric series is [tex]\( S_n = \frac{a_1(1 - r^n)}{1 - r} \)[/tex], where [tex]\( a_1 \)[/tex] is the first term, r is the common ratio, and n is the number of terms.
Using this formula, the total distance [tex](\( S_{10} \))[/tex] that Rosie traveled after 10 days is:
[tex]\[ S_{10} = \frac{18(1 - 0.9^{10})}{1 - 0.9} \][/tex]
Calculating this, we get:
[tex]\[ S_{10} = \frac{18(1 - 0.3487)}{0.1} \][/tex]
[tex]\[ S_{10} = \frac{18(0.6513)}{0.1} \][/tex]
[tex]\[ S_{10} = \frac{11.7234}{0.1} \][/tex]
[tex]\[ S_{10} = 117.234 \][/tex]
To the nearest kilometer, Rosie traveled 117 kilometers by the end of the 10th day.
2 Points
To convert 13 feet to yards, you would use the ratio yan
3 feet
O A. True
O B. False
Answer:
True
Step-by-step explanation: 1 yard = 3 feet
The height and radius of a cylinder are 23cm and 5cm what the volume?
Answer:
Around 1806.42
What is m<1 if m<3=80
Angles 1 and 3 are vertical angles, so they are congruent.
In order to set a staff schedule, a fast-food restaurant manager looks at the average rate of customers served per minute during a lunch service. The manager notices that the time period starts with a sharp but steady increase, is followed by a period during which the restaurant is constantly serving the maximum number of customers per minute, and then has a slow but steady decline.
Which graph models the trend the manager notices?
ANSWER: A
The graph (A) models the trend the manager notices.
What is graph?"It is the set of points which satisfy given function or equation or model."
What is average rate?"It describes how much one variable, on average, changes when compared to another variable."
For given question,
The manager notices that the time period starts with a sharp but steady increase, is followed by a period during which the restaurant is constantly serving the maximum number of customers per minute, and then has a slow but steady decline.
The x-axis represents the the average rate of customers served and Y-axis represents the time.
Consider graph (A)
The graph starts with a sharp but steady increase, is followed by a constant line with maximum value (the maximum number of customers per minute), and then there is a slow but steady decline.
Consider graph (B)
The graph starts with a slow but steady increase, is followed by a constant line with maximum value (the maximum number of customers per minute), and then there is a sharp but steady decline.
Consider graph (C)
The graph starts with a sharp but steady decrease, is followed by a constant line with minimum value (the minimum number of customers per minute), and then there is a slow but steady increment.
Consider graph (D)
The graph starts with a slow but steady decrease, is followed by a constant line with minimum value (the minimum number of customers per minute), and then there is a sharp but steady increment.
Therefore, the graph (A) models the trend the manager notices.
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What is 6.8784 rounded to the nearest thousandth?
Answer:
6.878
Step-by-step explanation:
I took the quiz
The nearest thousandth of the number will be 6.878.
What is a scientific expression?Scientific notation is the technic to express the larger or smaller numbers in the calculations to make calculations easy to solve and understand.
Given number 6.8784 can be rounded to the nearest thousandth by ignoring the three numbers after the decimal.
Therefore the nearest thousandth of the number will be 6.878.
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The circumference of a circular garden is 94.2 feet. What is the radius of the garden? Use 3.14 for it and do not round your answer.
please help !!!!!
Answer:
Use 3.14 for p and do not round your answer. The circumference of a circular garden is 128.74 feet. What is the diameter of the garden? Use 3.14
Radius (r) = 15 feet
What is circumference of circle?Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.
When we use the formula to calculate the circumference of the circle, then the radius of the circle is taken into account. Hence, we need to know the value of the radius or the diameter to evaluate the perimeter of the circle.
Circumference of a Circle Formula:
The Circumference (or) perimeter of circle = 2πr
where,
r is the radius of the circle
π is the mathematical constant with an approximate (up to two decimal points) value of 3.14.
Given,
Circumference of the circular garden:
C = 94.2 feet
Radius (r) =?
Circumference (C) = 2πr
94.2 = 2×3.14 × r
r = 94.2/6.28
r = 15 feet
Hence the radius of the park is 15 feet.
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Akeen makes two regular shoe boxes, box 1 and shoe box 2 1s side length are 5 centimeters and 7 centimeters shoe box 2s side length were twice those of shoebox 1s: 10 centimeter, 12 centimeters, and 14 centimeters. Akin says the surface area of shoebox 2 is twice the surface area of shoe box 1. Is he correct? If he is not, how many times as great as shoebox s surface area is shoe box 2s surface area?
Solving systems of equations algebraically.
y = x + 2
y= -3
And SHOW YOUR WORK PLEASE!!!!
Answer:
x = -5
y = -3
Step-by-step explanation:
Since it already gives you the value of y, all you need to do to solve for x, is to plug in the number into the equation, like so:
y = x + 2
-3 = x + 2
Now, subtract 2 from both sides:
-3 = x + 2
-2 - 2
________
-5 = x
So now you have, x = -5 and y = -3
So you first set them equal to each other I pretty sure...
x+2=-3
Then you solve so...
x+2=-3 (bring the two over)
x=-3-2 (you add and keep the negative sign)
x=-5
Let me know how this works out!
Simplify |-10| + |5|
Answer:
Answer: 15
Step-by-step explanation:
Answer: 15
Step-by-step explanation:
Simplify |-10| to 10.
10+∣5∣
Simplify.
15
Probabilities of compound
events
If you roll two fair six-sided dice, what is the
probability that both dice show an odd number?
Stuck? Watch a video or use a hint.
Rolling two dice is an example of independent events. It means that knowing the result of one die does not influence what you expect from the other.
When this is the case, the probability of the compound event is the product of the two probabilities.
Each die shows an odd number with probability 3/6=1/2, because there are three odd numbers (1, 3 and 5) out of the six possible numbers the die will show (1, 2, 3, 4, 5, 6).
So, if you multiply the probabilities of each die showing an odd number, you'll get the probability of the compound event.
What’s the answer to the picture shown
I’m not good in algebra so help me out please ☹️
Answer:
I believe it's B.
Dove lotion is $26.50 for a 24 oz bottle and $25 for a 22 oz bottle which is the better buy by how many ounces
ANSWER QUICKLY PLZ :)
Which solids can have vertical cross sections that are circles? Check all that apply.
cones
o prisms
cylinders
pyramids
spheres
4x^4 -2x^3 -6x+3
How do I factor this four term polynomial?
What is true about the points on the graph of y=2x?
A. Two of the coordinates on the graph are solutions to the equation y=2x.
B. There is one coordinate on the graph that makes y=2x true.
C. As the x-coordinates increase by 1, the y-coordinates increase by 2.
D. You can substitute the x-coordinate into the expression 2x to get the y-coordinate.
The correct statements about the graph of the equation y=2x are that as the x-coordinates increase by 1, the y-coordinates increase by 2, and you can get the y-coordinate by substituting the x-coordinate into 2x.
Explanation:Concerning the equation y=2x, option C is the correct statement about the graph. This is because linear equations like this represent a direct proportionality between variables x and y. When the x-coordinate increases by 1, the y-coordinate increases by the coefficient of x, in this case, 2, reflecting the equation's slope which is the constant rate of change for y in relation to x. Option D is also true because, for any point on the graph, substituting the x-coordinate into the expression 2x will yield the corresponding y-coordinate, as per the definition of a functional relationship in algebra. Thus, solutions to the equation y=2x include an infinite number of points on the graph, not just two as stated in option A, making options A and B incorrect.
how do you expand (x-10)(x-10)
What is the area of figure ABCD?
104 square inches
120 square inches
136 square inches
168 square inches
Answer:
The answer is option 2.
Step-by-step explanation:
You have to use the formula of area of trapezium :
[tex]area = \frac{1}{2} \times (ab + cd) \times bc[/tex]
Let AB be 13 inches,
Let CD be 17 inches,
Let BC be 8 inches,
[tex]A = \frac{1}{2} \times (13 + 17) \times 8[/tex]
[tex] = \frac{1}{2} \times30 \times 8[/tex]
[tex] = \frac{1}{2} \times 240[/tex]
[tex] = 120 \: {inches}^{2} [/tex]
Jane took a piece of cardboard and cut out a triangle with measure 32°, 58°, and 90°, and side lengths 5 cm, 12 cm, and 13 cm. What kinda of triangle was cut out?
A. right, scalene
B. right, isosceles
C. isosceles, equilateral
D. acute, scalene
what is the area of this parallelogram h=2 in. b = 10 in .
Answer:
20 in^2
Step-by-step explanation:
smh
base * height = area
Answer:
20
Step-by-step explanation:
B X H
The ratio of the lengths of the radii of two spheres is 5 : 8. What is the ratio of the surface area of the smaller sphere to the surface area of the larger sphere?
1
5
8
25
40
64
125
512
The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is,
⇒ 25 : 64
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
The ratio of the lengths of the radii of two spheres is 5 : 8.
Now, We get;
The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is,
⇒ 5² : 8²
⇒ 5² / 8²
⇒ 25 / 64
⇒ 25 : 64
Thus, The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is,
⇒ 25 : 64
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What is the value of each person?
Which graph is given by the radical equation?
d
Step-by-step explanation:
If the diameter of the smaller circle is 7 km and the width of the circular path is 0.5 km, find the area of the path. (Assume π=3.14)
Answer:
12.1
Step-by-step explanation:
Answer: 12.1
Because you have to plug in your numbers in the expression d = 7km
Find the surface area of the solid figure.
Also I will give Brainly Crown for ever answers I need it ASAP
Answer:
The answer you put is right. Its 1120 :)
Step-by-step explanation:
3.43
Can you help me Simplify this question
Answer:
192
Step-by-step explanation:
3 * 4^3
Using PEMDAS
Exponents first
4^3 = 4*4*4 = 64
Replace into the expression
3 *64
3*64 =192
Which of the following represents 12 = 3 * 4?
A. 4 is 3 times as many as 12
B. 12 is 6 times as many as 2
C. 3 is 4 times as many as 12
D. 12 is 4 times as many as 3
Answer: The answer is D.
Answer:
D
Step-by-step explanation:
That’s kinda it
Maths attachment Pythagoras theorem
The Pythagorean theorem, established by the ancient Greek philosopher Pythagoras, defines the relationship in a right-angled triangle between the squares of the lengths of the legs (a and b) and the hypotenuse (c) with the famous equation: a² + b² = c².
Explanation:The Pythagorean Theorem
The Pythagorean theorem is a fundamental principle in the field of mathematics, specifically in geometry. It was established by the ancient Greek philosopher, Pythagoras, who made significant contributions to understanding the relationships in geometric figures. The theorem reveals a specific relationship between the sides of a right-angled triangle. It states that the square of the length of the hypotenuse (√), which is the side opposite the right angle, is equal to the sum of the squares of the lengths of the other two sides. This can be elegantly expressed in the formula: a² + b² = c². Here, a and b represent the legs of the triangle, while c represents the hypotenuse.
For example, if a right triangle has legs of lengths 9 units and 5 units, using the Pythagorean theorem, we can calculate the length of the hypotenuse. We would square each of the legs (√9² + 5²), add these together, and take the square root to find that the hypotenuse is approximately 10.3 units long.
This theorem is not only a theoretical concept but is also practical in various real-world scenarios, such as calculating distances in navigation. An old adage suggests that the shortest distance between two points is a straight line. When dealing with the distances on a map or between points in space, a right triangle can often form, and using the Pythagorean theorem allows us to calculate the direct straight-line distance (hypotenuse) easily.
plz do this, its really important for my grade.
Answer:
B, A, C
Step-by-step explanation:
Answer:
Step-by-step explanation:
On each of those equations, combine like terms.
[tex](3x^{2}-7x +14) + (5x^{2} +4x-6)\\ 3x^{2} +5x^{2} = 8x^{2} \\-7x+4x=-3x\\14-6=8\\Your expression would be: 8x^{2} -3x+8[/tex]
This expression would be equivalent to B
[tex]( 2x^{2} -5x-3)+(-10x^{2} +2x+7)\\2x^{2} -10x^{2} =-8x^{2} \\-5x+2x=-3x\\-3+7=4\\[/tex]
Your expression would be: [tex]-8x^{2} -3x+4[/tex]
This expression would be equivalent to A
[tex]( 12x^{2} -2x-13) + (-4x^{2} +5x+9)\\12x^{2} -4x^{2} =8x^{2} \\-2x+5x=3x\\-13+9=-4[/tex]
Your expression would be: [tex]8x^{2} +3x-4[/tex]
This expression would be equivalent to C