Answer:
5.4 laps
Step-by-step explanation:
One lap = 5/6 miles
= 0.833miles (approximately)
If 0.833 miles = 1 lap
4.5 miles = ?
4.5/0.833 = 5.4 laps
Final answer:
To find the number of laps the track team ran, divide the total distance by the length of each lap. In this case, the team ran approximately 5.4 laps.
Explanation:
To find the number of laps the track team ran, we need to divide the total distance they ran by the length of each lap. The total distance they ran is 4 1/2 miles, which can be written as 9/2 miles. Each lap is 5/6 miles long.
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. So, to find the number of laps, we can multiply 9/2 by the reciprocal of 5/6: (9/2) x (6/5) = 54/10 = 5.4.
Therefore, the track team ran approximately 5.4 laps.
PLZ HELP ME ITS 5:00 AND ITS DUE AT 6:00 PLZ HELP
Answer:
your answer is d (-0.75, -1.0)
Answer:
(-.75, -1)
Step-by-step explanation:
Draw a line down from V and to the left from t and see where they meet
The x coordinate is the same for V and the Y coordinate is the same as T
(-.75, -1)
You spin the spinner, flip, a coin, then spin the spinner again. Find the probability of the compound event. The probability of spinning an odd number, not flipping heads, then not spinning six is?
Answer:
20/81.
Step-by-step explanation:
There are 5 odd numbers in 1 to 9 and 4 even ones.
Prob(Odd number on first spin) = 5/9
Prob(Not flipping heads on second) = 1/2
Prob(Not spinning a 6 on third ) = 8/9
The compound probability is found by multiplying the above ( because each trial is independent of the others):
Answer = 5/9 * 1/2 * 8/9
= 40/162
= 20/81.
Find the surface area of the following composite shape.
Answer:
130.3 ft²
Step-by-step explanation:
Surface area is the sum of areas of outer faces
2 rectangles + 2 triangles + curved surface area of the cylinder
2(4×6) + 2(½×6×5) + 2×3.14×(2/2)×4
48 + 30 + 25.12
103.12 ft²
mZRTU = 53
OmZQUR = 74
mZOST= 106
mZROS = 106
Answer:
Use a protractor
Step-by-step explanation:
Im still working on it give me a sec.
A sample of bacteria was placed in a petri dish. The number of bacteria changes exponentially over time.
The graph describes the number of bacteria over time in hours).
Answer:
50
Step-by-step explanation:
Its initial size was 50, because that is the y-intercept. From 50, it increases, so it can't be anything above 50.
Answer:
Step-by-step explanation:50
Angle A and Angle B are
supplementary. ', angle A is 37
degrees, what is the measure of
angle B?
Answer:
143°
Step-by-step explanation:
supplementary = add to 180°
180°-37°=143°
Hope this helps :)
$6000 is invested in an account that earns 4.5% annual interest, compounded continuously. What is the value of the account after 8 years.
Answer:
Convert 4.5% to a decimal. 6000,0.045, 8 years
Step-by-step explanation:
I used math--way
The value of the account after 8 years with continuous compounding is approximately $8593.76.
To find the value of the account after 8 years with continuous compounding, we can use the formula for continuous compounding:
A=P⋅e rt
Where:
A is the amount of money accumulated after
t years, including interest.
P is the principal amount (the initial amount of money).
r is the annual interest rate (in decimal).
t is the time the money is invested for, in years.
e is the base of the natural logarithm, approximately equal to 2.71828.
Given:
P=$6000
r=4.5%=0.045 (in decimal)
t=8 years
Substituting the values into the formula:
A=6000⋅e 0.045⋅8
Now, let's calculate this:
A=6000⋅e 0.36
A≈6000⋅2.71828 0.36
A≈6000⋅1.432292989
A≈8593.757934
Rounding to two decimal places, the value of the account after 8 years with continuous compounding is approximately $8593.76, which is slightly different from the provided answer of $8532.60. This discrepancy might be due to rounding differences or calculation variations.
Someone answer ASAP please
Answer:
the answer is a
Step-by-step explanation:
distribute the minus sign on the second set of parenthesis and combine like terms
Find the volume of a right circular cone that has a height of 7.6 in and a base with a
radius of 11.1 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
980.6
Step-by-step explanation:
V=πr2h
3=π·11.12·7.6
3≈980.5916
Answer:
980.6 in³
Step-by-step explanation:
V=[tex]\frac{1}{3} \pi r^{2} h\\[/tex]
H=7.6 R=11.1
V=[tex]\frac{1}{3} \pi r^{2} h[/tex]
V=[tex]\frac{1}{3} \pi (11.1)^{2} (7.6)[/tex]
V=980.59159815
V=980.6 in³
Find the slope of the line between these two points.
(−4, 7), (−6, −4)
Answer:
5.5
Step-by-step explanation:
gradient = (7-(-4))/(-4-(-6)) = 11/2 = 5.5
The bar graph shows the number of students who earned each letter grade on a written report.Which statement about the graph is true?
It's probably A (I can't tell you for certain, because I can't see the image, but the other options seem illogical).
The bar graph presents the number of students who received each letter grade on a written report, enabling a clear comparison of quantities.
The statement about the graph that is true: The bar graph displays the number of students who earned each letter grade on a written report, making it suitable for comparing quantities. For example, the bar that represents the number of students who received an A appears to be shorter than the bar for students who received a C, indicating fewer students got an A.
Someone help in math?
Answer:
10.44
Step-by-step explanation:
two coordinates are (1,-1) and (-9,-4)
use the distnce formula = [tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
What is the equation of the quadratic function with a vertex at (2,-25) and an x-intercept at (7,0)?
f(x) = (x - 2)(x-7)
f(x) = (x + 2)(x + 7)
f(x) = (x – 3)(x + 7)
f(x) = (x + 3)(x – 7)
Answer: f(x) = (x + 3)(x – 7)
Step-by-step explanation: Use "standard form" of the function and insert values given: vertex (2,-25) intercept point (7,0)
f(x) = a(x-h)² + k from vertex, h is 2 y is -25 from intercept, x is 7 f(x) is 0
to find a, 0 = a(7-2)² +(-25) 0 = a(7-2)² -25 add 25 to both sides
25 = a(5)² 25 = 25a 25/25 = a 1=a (seems useless but verifies implied "a"coefficient is 1)
f(x) = a(x-h)² + k solve to get the quadratic form
f(x) = (x-2)² -25 (x - 2)² is x² -4x +4
f(x) = x² -4x +4 -25 simplify
f(x) = x² -4x - 21 then factor
f(x) = (x + 3)(x - 7)
Answer:
f(x) = (x + 3)(x - 7)
Quincy folds a piece of cardboard to make the three sides of a triangular prism open at top
and bottom. The triangular prism and the piece of cardboard that he used are shown below.
What is the area of the piece of cardboard?
Answer:
500 cm2
Step-by-step explanation:
The dimensions of the prism are 7 cm, 9 cm and 20 cm.
So the three areas we want to find are three rectangles, with the sides:
7 cm and 20 cm, 9 cm and 20 cm, 9 cm and 20 cm
The area of each rectangle is:
rectangle_1 = 7 * 20 = 140 cm2
rectangle_2 = 9 * 20 = 180 cm2
rectangle_3 = 9 * 20 = 180 cm2
Summing all these three areas, we have:
Total area = 140 + 180 + 180 = 500 cm2
Answer:
500 Square Centimeters
How does the average rate of change for a square root function behave, for
intervals of fixed lengths over the domain, as the endpoints of the intervals
increase?
The average rate of change for a square root function decreases as we look at intervals of fixed lengths over the domain and the endpoints of those intervals increase. This is due to the property of the square root function where it's an increasing function but at a decreasing rate.
Explanation:The average rate of change of a function measures how the output (y-value) changes in comparison to the input (x-value). For a square root function like f(x) = √x, as we look at intervals of fixed lengths over the domain and as the endpoints of those intervals increase, the average rate of change decreases.
This happens because the slope of the tangent line to the function (which represents the rate of change) gets progressively less steep as x increases. Square root functions are increasing functions but at a decreasing rate. For example, the slope between the points (1,1) and (4,2) on the function f(x) = √x is 1/3, but between (4,2) and (9,3), it's 1/5, indicating a decrease in the rate of change.
Learn more about Average Rate of Change here:
https://brainly.com/question/34745120
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Factor the polynomial by it’s greatest common monomial factor.
12k^3 - 30k^4
Answer:
6k^3(2 - 5k)
Step-by-step explanation:
12k^3 - 30k^4
Factor out 6k^3
6k^3(2 - 5k)
Answer:
[tex]6k^3(2-5k)[/tex]
Step-by-step explanation:
Find the GCF, 6.
Factor out [tex]6k^3[/tex]:
[tex]12k^3-30k^4\\6k^3(2-5k)[/tex]
Finito.
Help Plzzzz
A section in a stained glass window is shaped like a trapezoid. The top base is 1 centimeter and the bottom base is 1.5 centimeters long. If the area of the section of glass is 4.5 square centimeters, how tall is the section?
Answer:
3.6 cm
Step-by-step explanation:
The area of a trapezoid is found by
A = 1/2 (b1+b2)*h
We know the area of 4.5 and the top is 1 and the bottom is 1.5
4.5 = 1/2 (1+1.5) h
4.5 = 1/2 (2.5) h
4.5 =1.25h
Divide each side by 1.25
4.5/1.25 = 1.25h/1.25
3.6 =h
Answer:
[tex]3.6 \: \: cm[/tex]
Step-by-step explanation:
[tex]area \\ 4.5 = \frac{1}{2}(a + b ) \times h \\ 4.5 = \frac{1}{2} (1 + 1.5) \times h \\ 4.5 = \frac{1}{2} \times 2.5 \times h \\ 4.5 = \frac{2.5h}{2} \\ 4.5 = 1.25h \\ \frac{4.5}{1.25} = \frac{1.25h}{1.25} \\ h = 3.6 \: cm[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Please help!!! Will give Brainly to the best answer!!!
47 points!!!!!!
if one zero is irrational, the other zero is:
-ration
-irrational
-non real
Answer
non real
Step-by-step explanation:
Answer:
non real
Step-by-step explanation:
If the number of bacteria in a colony doubles every 105 minutes and there is currently a population of 45 bacteria,what will be the population by 315 minutes from now?
Answer:
180
Hope this helps :)
360
Step-by-step explanation:
1st minute => 45 bacteria
105th minute => 45 x 2 = 90 bacteria
210th minute => 90 x 2 = 180 bacteria
315th minute => 180 x 2 = 360 bacteria
idk if my answer is right pls help will give like and brainliest
Answer:
Yes that would be correct!
Step-by-step explanation:
You need 5a and 34 are needed in the equation and so is the x symbol
Answer:
Step-by-step explanation:
i need help please
Answer:
-6
Step-by-step explanation:
The y-int is the point where the line crosses the y axis
Going by intervals of 2, it crosses at -6
:)
Below is the graph of a trigonometric función. It has a maximum point at (-pi, 6.8) and a minimum point at(pi,1.2)
What is the midline equation of the function?
Answer:
4
Step-by-step explanation:
trust me bro
A cone with radius
2
22 units is shown below. Its volume is
29
2929 cubic units.
Find the height of the cone.
Answer:
6.9
Step-by-step explanation:
Can someone help me please
Answer:
x = 39
Step-by-step explanation:
To solve for x, we have to get it by itself in the equation.
In this problem, we have to do the opposite of subtraction and add 36 to the left and right side of the equation.
3 + 36 = x - 36 + 36
36 + 3 is equal to 39 and -36 + 36 cancels out.
This leaves us with 39 = x.
In a particular game, a spinner with four equally-sized sectors labeled 1, 4, 6, and 8 is spun twice. One turn is considered 2 spins of the spinner.
If the sum of the spins is even, you move forward 6 spaces. Otherwise, you move back 2 spaces.
What is the mathematical expectation for the number of spaces moved in one turn?
3 spaces forward
1 space backward
3 spaces backward
1 space forward
Answer:
P(sum is even) = 1/16 + 9/16 = 10/16
= 5/8
P(sum is odd) = 3/8
E(x) = (5/8)(6) + (3/8)(-2) = 3
The mathematical expectation for the number of spaces moved in one turn is 3 spaces forward.
What is the solution set for
X=-24 and x=-8
X=-24 and x = 24
X=-8 and X=8
X=-8 and x = 24
Answer:
i'm pretty sure it's B. X=-24 and x=24
Step-by-step explanation:
HA
Jin recorded the ages (in years) for a sample of 4 zebras from a wildlife preserve. Here are the ages:
2,9, 14, 15
The mean of these ages is 7 = 10 years.
What is the standard deviation?
Round your answer to two decimal places.
8,
years
Answer:
5.94
Step-by-step explanation:
Given the following information:
Ages of 4 zebras from a wildlife
2,9, 14, 15=> the sample mean of this date is
= [tex]\bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]
=[tex]\bar X = \frac{2+9+14+15}{4}= 10[/tex]
The standard deviation can be determined by using this formula:
[tex]s = \sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}[/tex]
<=> [tex]s = \sqrt{\frac{(2-10)^2 +(9-10)^2 +(14-10)^2 +(15-10)^2}{4-1}} =5.94[/tex]
The population of Portland Oregon has recently grown to more than 500,000. What is the order of magnitude for the number of people in Portland?
Answer:
Order is 6
Step-by-step explanation:
The population of Portland Oregon has recently grown to more than 500,000.
The order of magnitude for the number of people in Portland means the power of 10. It means that we need to write 500,000 in form of 10 to the power. So,
[tex]P=500,000[/tex]
It contains 6 zeroes. It means,
[tex]P=5\times 10^6[/tex]
So, the order of magnitude for the number of people in Portland is 6.
PLEASE SIMPLIFY! 30 Points!!!
[tex] \frac{3 \sqrt{5} }{ \sqrt{15} } = 3 \times \sqrt{ \frac{5}{15} } = \frac{3}{ \sqrt{3} } \\ [/tex]