Answer
660
Step-by-step explanation:
to find the distance covered in one revolution, we need to find the circumference of the circle.
Radius of wheel is
= 2.1 / 2
= 1.05 m
Distance traveled when 100 revolutions are completed :
= 100 x circumference of the wheel
= 100 x 2 x (22/7) x (1.05)
= 100 x 2 x 22 x 0.15
= 660 m
Distance traveled when it completes 100 revolutions is 659.4 meter
Given that;Diameter of a cart wheel = 2.1 m
Find:Distance traveled when it completes 100 revolutions
Computation:Radius of wheel = 2.1 / 2
Distance traveled when it completes 100 revolutions = [2πr]100
Distance traveled when it completes 100 revolutions = [2(3.14)(2.1 / 2)]100
Distance traveled when it completes 100 revolutions = [(3.14)(2.1)]100
Distance traveled when it completes 100 revolutions = 659.4 meter
Learn more:https://brainly.com/question/15723594?referrer=searchResults
Witch is not a characteristic of an exponential parent function
Answer:
All exponential functions try to cross the x axis but never do
Step-by-step explanation:
What is the measure of angle A?
(3y + 27)
What is the measure of angle B?
(5y - 3)º
Answer:
72
108
Why?
It came back as correct
Can someone please help
Answer:
C
Step-by-step explanation:
We need to use the distance formula, which says that for two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the distance between them is:
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here, the two points are (-2.5, 4.5) and (4.75, 4.5), so:
d = [tex]\sqrt{(4.75-(-2.5))^2+(4.5-4.5)^2}=\sqrt{(7.25)^2+(0)^2}=7.25[/tex] = 7 1/4
The answer is C.
Answer:
7¼ units
Step-by-step explanation:
Since the y-coordinate is the same, the two points lie on the same horizontal line
No vertical distance
Only horizontal distance of:
4¾ - (-2½)
4.75 + 2.5
7.25 units
Or
7¼ units
prove that 7 + 3 root 2 is not a rational number
Answer:
Step-by-step explanation:
let 7 + 3√2 be an rational number where
7+3√2 = a/b [ a and b are coprime and b is not equal to zero]
3√2= a/b-7
3√2 =( a-7b) /b
√2 = (a-7b) /3b .....(i)
Now ,from equation (i) ,we get that √2 is rational but we know that √2 is irrational. so actually 7 + 3√2 is irrational not rational. thus our assumption is wrong. The number is irrational.
Answer:
Prove by contradiction.
See below.
Step-by-step explanation:
Assume it is rational, then:
Let x = 7 + 3√2 = p/q where p and q are integers and p/q is in simplest form.
x^2 = 49 + 42√2 + 18 = p^2/q^2
67q^2 = p^2 - 42√2q^2
67q^2 - p^2 = -42√2 q^2
67q^2 - p^2 is rational and q^2 is rational so that makes -42√2 rational.
but we know that -42√2 is irrational, so our original assumption is not true.
Jace gathered the data in the table. He found the approximate line of best fit to be y = –0.7x + 2.36.
A 2-column table with 5 rows. The first column is labeled x with entries 0, 1, 4, 5, 7. The second column is labeled y with entries 3, 1, 0, negative 2, negative 2.
What is the residual value when x = 5?
Answer:
B on ed!!!!
Step-by-step explanation:
(-0.86)
The residual value when x = 5 is -0.86.
What is meant by Residual Value?Residual value is defined as the difference of the value that we predicts with that of the observed value.
It is given that,
Line of best fit is,
y = –0.7x + 2.36
Predicted value at x = 5 is,
y = -0.7 × 5 + 2.36 = -1.14
Observed value at x = 5 is y = -2
Residual value = Observed value - Predicted value
= -2 - -1.14
= -0.86
Hence the residual value is -0.86.
Learn more about Residual Values here :
https://brainly.com/question/16465392
#SPJ3
What is one way to summarize all of the values of a data set with a single number?
Thank you
Answer:
A measure of central tendency
Step-by-step explanation:
A measure of central tendency summarizes all of the values in a data set with one number.
A measure of central tendency describes how the values in a data set vary with a single number.
the three main measure of central tendency are the mean, median, and mode, all this three are single values attributed to values of a distribution.
The mean is the average value of a distribution
while the median is the middle value of a distribution and
the mode is the most occurrence value among the distribution.
Mr. Jackson likes to play a game in which rolling a 4 on a number cube doubles your score. He wants to know the probability that he will roll a 4 exactly 3 times out of 10 rolls. I need four reasons this is an example of a binomial experiment.
Answer:
1. There are a fixed number of trials
2. There are two outcomes: success (getting a 4) and failure (not getting a 4)
3. You know the probability of success and it is the same for each trial
4. You are looking for the probability of getting a 4 exactly 3 out of 10 times. When you're looking for the probability of getting exactly x number of successes in n trials, that is a binomial probability distribution.
Step-by-step explanation:
The area of a kite ABCD is 72cm2 and one diagonal is 18cm long. Find the length of the other diagonal.
Answer:
8cm
Step-by-step explanation:
1/2 × 18b = 72
9b = 72
b = 72/9
b = 8
Answer:
Answer:
8 cm
Step-by-step explanation:
1/2 × 18 b = 72
9 b = 72
b = 72/9
b = 8
WILL GIVE BRAINLIEST!
Deanna collected data on the favorite sports of the students of two grades. The table shows the relative frequencies of rows for the data collected:
Favorite Sport
Swimming Running Volleyball Row totals
Grade 8 0.14 0.18 0.22 0.54
Grade 9 0.17 0.24 0.05 0.46
Column totals 0.31 0.42 0.27 1
Based on the data, which statement is most likely correct?
A) In Grade 8, 14 students liked swimming.
B) In Grade 9, 31% of students liked swimming.
C) In Grade 8, 22% of students liked volleyball.
D) In Grade 9, 5 students liked volleyball.
Answer:
In Grade 8, 22% of students liked volleyball.
Step-by-step explanation:
I toke the exam
Solve 3z divided by 2=9
Answer:
z=6
Step-by-step explanation:
3z/2=9
3x6=18/2=9
Which statement is true?
The solution is x = 3.
The solutions are x = -2 and x = 3.
There are no solutions.
There are infinite solutions.
DONE
Answer:
its c
Step-by-step explanation:
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
Steve is making a circular shield with a radius of 11 inches for a school play. What approximate length of cardboard does he need to make the outer border of the shield?
Step-by-step explanation:
It is given that, Steve is making a circular shield with a radius of 11 inches for a school play. We need to find the length of cardboard he need to make the outer border of the shield. It means that we need to find the circumference of the circular shield of radius 11 inches.
So,
[tex]C=2\pi r\\\\C=2\times 3.14\times 11\\\\C=69.08\ \text{inches}[/tex]
So, he will need 69.08 inches of cardboard to make the outer border of the shield.
Use the graph to estimate the solution of the system. x + 2y = 5, –x + 3y = 6 Which integers is the x-value between? What is the x-value to the nearest tenth? Which integers is the y-value between? What is the y-value to the nearest tenth?
Answer:
look at this and there’s ur answer
Step-by-step explanation:
The solution of the given system of equations using the graph is (0.6,2.2) so x is between 0 and 1 and y is between 2 and 3.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
As per the given system of equations,
x + 2y = 5, –x + 3y = 6
Both systems of the equation have been plotted below.
The intersection point will be a solution as (0.6,2.2).
0 < 0.6 < 1 and 0.6 can be rounded to the nearest tenth as 0.6.
2 < 2.2 < 3 and 2.2 can be rounded to the nearest tenth as 2.2.
Hence "The solution of the given system of equations using the graph is (0.6,2.2) so x is between 0 and 1 and y is between 2 and 3".
To learn more about graphs,
brainly.com/question/16608196
#SPJ6
Matt has $900 in a checking account, has $15,000 in investments, owns an
$8000 car, and owns a $30,000 house. What is the total value of his large
assets
The total value of Matt's large assets, which include his investments, car, and house, adds up to $53,000.
Explanation:The student is asking about calculating the total value of large assets that Matt owns. To find this, we add up the value of the investment, car, and house as these are considered large assets. The checking account is generally not included in large assets, as it is considered liquid cash rather than an asset of substantial value like property or investments.
Investments: $15,000Car: $8,000House: $30,000We calculate the sum of these amounts to get the total value of Matt's large assets:
$15,000 + $8,000 + $30,000 = $53,000
Therefore, the total value of Matt's large assets is $53,000.
Heather is making two different pies if the first pie needs 6.25 cups of flour and the second pie needs 4.5 cups of flour how much flour will heather need in all
Answer:
The answer is 9.75
Step-by-step explanation:
6.25
4.50
Equals 9.75
You have to add a 0 after the 5 in 4.5 because the 5 is in the tenths place.
Sorry if it isn’t right, that’s how I was taught.
Write log8 16= 4/3
in exponential form
Can I just get the formula? I don’t remember it
Answer:
16 = [tex]8^{\frac{4}{3} }[/tex]
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
Given
[tex]log_{8}[/tex] 16 = [tex]\frac{4}{3}[/tex], then
16 = [tex]8^{\frac{4}{3} }[/tex] ← in exponential form
Which of the following describes the function −x4 + 1
where are the choices for the question?
If another 10-year old were to join the baseball team shown in the scatter plot below, what is the best estimate for his height?
A.) 55 in
B.) 64 in
C.) 58 in
D.) 60 in
Answer:
55
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
Abdul returned home from school on the school bus. The bus traveled 9 km north
and then 12 km west. How far is Abdul's house from the school? Round to the
nearest whole number. (PLEASE SHOW WORK)
Answer:
15 km
Step-by-step explanation:
The formula to find the hypotenuse of a right triangle
Is the square root of [tex]a^{2} +b^{2}[/tex]
a and b represent the side lengths so just plug in the side lengths for a and b
it doesn't matter which side you make a or b
square a and b
square root of 144+81
add them
[tex]\sqrt{225}[/tex]
solve
15
add your units and you're done
15 km
A rectangle made of square tiles measures 10 tiles long and 8 tiles wide. what is the width of a similar rectangle whose length is 15 tiles?
Answer:
12 or 13
hope this helps
Answer:
13
Step-by-step explanation:
Find the value of x in the triangle above
Answer: x = 8
Step-by-step explanation: So you have 3 sides and 3 numbers. Identify the side that has a number without a variable. (This goes for both triangles) Then you divide the 1st number by the 2nd. In this case it would be 20 or side "B" divided by 5 or side "E", which equals 4. You then take 4 and multiply it by 4 or side "D" (Because it's the only other side that does not have a variable) and you take your answer (16) and 2x or side "A", and make an equation. The equation would be : 2 * x = 16. Now solve the equation. Your answer is : x = 8.
Find the value of (5n+3)-(2n-5)when n=4
Answer:
F(n) = (5n + 3) - (2n - 5)
F(4) = (5*4 + 3) - (2*4 - 5)
= 20 + 3 - 8 + 5
= 20
Hope this helps!
:)
Answer:
20
Step-by-step explanation:
(5n+3)-(2n-5) =
= (5×4+3) - (2×4-5)
= (20+3) - (8-5)
= 23 - 3
= 20
Question 7
3 pts
(02.03 MC)
Which of the following statements is most likely correct about a rock found in Europe and a
rock found in America, both having the same kinds of fossils?
The rocks are the same age.
They are different types of rocks.
The mineral composition of the rocks is identical.
They were exposed to the same agents of weathering
Answer:
They were exposed to the same agents of weathering
Write the following number in expanded form: fifty-four and elght tenths
Answer:
50 + 4 + . 8/10 I think
Step-by-step explanation:
54.8
The number 'fifty-four and eight tenths' in expanded form is represented as 50 + 4 + 0.8. Each digit's place value is broken down in this representation.
Explanation:The number 'fifty-four and eight tenths' is typically represented in decimal form as 54.8. In expanded form, we break down each digit's place value. Here are the steps:
Look at the digits in the number 54.8. The '5' is in the tens place and the '4' is in the ones place. Express the '5' in the tens place as 50 because 5 tens equals 50. Express the '4' as 4 because it is in the ones place. The '.8' represents eight tenths, so it can be written as 0.8.
When combined, the expanded form of 54.8 is 50 + 4 + 0.8.
Learn more about Expanded Form here:https://brainly.com/question/34236895
#SPJ2
Using the greatest common factor for the terms, how can you write 56 + 32 as a product?
A) 4(14 + 8)
B) 7(4 + 8)
C) 8(7 + 4)
D) 14(4 + 2)
PLZ HELP
Answer:
8(7+4) (C.)
Step-by-step explanation:
What is the biggest number that goes into 56 and 32?
8!
So then you have to divide both numbers by 8 like so:
[tex]56/8 + 32/8[/tex]
and put the 8 on the outside...
8(7+4)
Two angles in a triangle measure 28° and 939. What is the measure of the third angle?
59
87
121
152
Expand
3m (m +1)
???????????????
Answer:
3m^2+3
Step-by-step explanation:
Step 1: First you have your equation or something.
3m (m+1)
Step 2: You multiply the parenthesis with the number.
Step 3: Then 3m to the parenthesis if you have 3m and m will convert to m^2.
Step 4: Your answer would be 3m^2+3
Answer:
So you solve it .... 3m^2+ 3m
Step-by-step explanation:
help, Find the circumference of the circle. Round your answer to the nearest hundredth.
Answer:
18.85
Step-by-step explanation:
2 x π x 3
18.8496
Rounded to nearest hundredth: 18.85
Find the area of the regular polygon with the given apothem a and side length s.
octagon, a=66.4 in, S =55 in
Answer:
Area is 14608in²
Step-by-step explanation:
this problem is based on mensuration of flat shapes, polygon
Octagon number of sides n= 8
The expression for the area of polygon given apothem and side
Is
Area= (n*s*a)/2
Given n= 8
s= 55in
a= 66.4in
Substituting our given data we have
Area = (8*55*66.4)/2
Area = 29216/2
Area = 14608in²
The area of the regular octagon is [tex]\( 14608 \)[/tex] square inches.
The area of a regular polygon can be calculated using the formula:
[tex]\[ A = \frac{1}{2} \times a \times p \][/tex]
where [tex]\( A \)[/tex] is the area, [tex]\( a \)[/tex] is the apothem, and [tex]\( p \)[/tex] is the perimeter of the polygon.
For a regular octagon, the perimeter [tex]\( p \)[/tex] is given by:
[tex]\[ p = n \times s \][/tex]
where [tex]\( n \)[/tex] is the number of sides and [tex]\( s \)[/tex] is the length of one side. Since an octagon has 8 sides:
[tex]\[ p = 8 \times s \][/tex]
Given that [tex]\( s = 55 \)[/tex] in, we can calculate the perimeter:
[tex]\[ p = 8 \times 55 \text{ in} = 440 \text{ in} \][/tex]
Now, we can calculate the area of the regular octagon with the given apothem [tex]\( a = 66.4 \)[/tex] in and side length [tex]\( s = 55 \)[/tex] in:
[tex]\[ A = \frac{1}{2} \times a \times p \][/tex]
[tex]\[ A = \frac{1}{2} \times 66.4 \text{ in} \times 440 \text{ in} \][/tex]
[tex]\[ A = 33.2 \text{ in} \times 440 \text{ in} \][/tex]
[tex]\[ A = 14608 \text{ in}^2 \][/tex]
Suppose a number cube is rolled twice. what is the probability that an odd number will show both times?
Answer:
1/4 or 25%Step-by-step explanation:
Suppose half on numbers are odd, then for each roll the probability is 1/2
So for two rolls the probability is:
1/2*1/2 = 1/4 or 25%