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The circle graph shows the percent of time different people took turns driving during a 20-hour road trip.
How many hours did Dan drive?
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Explanation:
Add up the percentage values:
25+20+6+6+6 = 63
This means 63% of the trip was driven by anyone but Dan. That must mean 100-63 = 37% of the trip is how much Dan drove.
Apply this percentage to the 20 hour duration
37% of 20 = 0.37*20 = 7.4 hours represents how long Dan drove.
extra notes:
7.4 hours = 7 hours, 24 minutes because 0.4 hours = 0.4*60 = 24 minutes7.4 hours = 7 hrs + 24 min = 7*60+24 = 444 minutes-244 is it
rational number
natural number
real number
irrational number
integer
Rewrite the limit as a definite integral for number 13
The notation of the limit as a definite integral is given as follows:
[tex]\lim_{n \rightarrow \infty} \sum_{k = 1}^{n} \sqrt{k} \times n^{-\frac{3}{2}} = \int_0^{n^{-\frac{1}{2}}} \sqrt{x} dx[/tex]
How to write the limit as an integral?The limit for this problem is defined as follows:
[tex]\lim_{n \rightarrow \infty} \sum_{k = 1}^{n} \sqrt{k} \times n^{-\frac{3}{2}}[/tex]
This is a limit of a Riemann sum, hence it can be written as a definite integral according to the rule presented as follows:
[tex]\int_a^b f(x) dx = \lim_{n \rightarrow \infty} \sum_{i = 1}^{n} f(a + \Delta_x i) \Delta_x[/tex]
As the second term is only a factor of n, the Delta is given as follows:
[tex]\Delta_x = n^{-\frac{3}{2}}[/tex]
As the a term does not appear in the function, the value of the coefficient a is given as follows:
a = 0.
The parent function dependent on k is given as follows:
[tex]f(x) = \sqrt{x}[/tex]
The parameter b is obtained as follows:
[tex]\Delta_x = \frac{b - a}{n}[/tex]
[tex]n^{-\frac{3}{2}} = \frac{b}{n}[/tex]
[tex]b = n^{-\frac{1}{2}}[/tex]
(the parameter n is not given).
Hence the definite integral is obtained as follows:
[tex]\int_0^{n^{-\frac{1}{2}}} \sqrt{x} dx[/tex]
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Which point keeps the set of ordered pairs a function {(1,-2).(-2,4), (5,0)}
O (5,2)
O (2,1)
O(-2.3)
O (1,6)
A committee must be formed with 2 teachers and 3 students. If there are 10 teachers to choose from, and 13 students, how many different ways could the committee be made?
Answer:
12870 ways
Step-by-step explanation:
10c2*13c3
10!/(10-2)!2! *13!/(13-3)!3!
[(10*9*8!)/8!*2*1] *[(13*12*11*10!)/10!*3*2*1]
45*286
12870 ways
Please help will mark Brainly
Answer:
Step-by-step explanation:
the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.
Please answer this question asap will be marked brainliest
Answer: 9.85 inches
Step-by-step explanation:
Each point on the graph represents the total rainfall in one month in this desert. For instance, the 2 points on top of 1.0 inches indicates that there were two months in the year where rainfall was 1.0 inches.
The total rainfall in this desert was therefore:
= 0.4 + 0.5 + 0.5+ 0.6 + 0.85 + 0.85 + 0.95 + 1.0 + 1.0 + 1.05 + 1.05 + 1.1
= 9.85 inches
Decide whether the relation is a function *
1) {(-5, -2), (-1, 1), (3, -6), (8, 1)
Answer:
Step-by-step explanation:
Identify the input values. Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
Johnny combined 7/4 cups of pancake mix and 3/4 of a cup of water to
make pancake batter. If he uses 1/4 of a cup of batter to make each
pancake, how many pancakes can Johnny make from his batter?
Illustrate the effect that a decrease in the price of milk and input to ice cream would have on the market for ice cream
The effect that a decrease in the price of milk and input to ice cream would have on the market for ice cream is that there will be more production and demand in the market.
What is Market?This is referred to as a place where buyers and sellers can meet to facilitate the exchange or transaction of goods and services.
A decrease in the price of milk and input to ice cream means that production costs would fall, which will cause the suppliers to produce more thereby shifting the supply curve to the right with the demand for the goods being increased which is therefore the effect on the market.
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The width of Hudson's science fair poster needs to be more than 2.5 feet wide. Which of the following shows what the width could be? Select TWO that apply
A 40 inches
B 35 inches
C 25 inches
D 20 inches
Answer:
a c
Step-by-step explanation:
Ms. Lopez goal is to run 25 miles this week.
She runs 3 miles on Tuesday and 4 miles on Wednesday.
What percent of her goal has she accomplished?
Answer: 28%
Step-by-step explanation: First, we need to find how much she runs in total on Tuesday and Wednesday. So, we add 3 + 4 to get 7. With that, we need to determine how much 7 is from 25. So, it'd look like this:
7 * 100 / 25
700 / 25
=28
Therefore, she's done 28% of her goal (within the 2 days) I hope this helped!
Answer:
I think the other person who answered the question is right
Step-by-step explanation:
factorise 10(x-2y)-5p(x-2y)
Answer:1 0 (
I’m getting 9.8 not sure what I’m doing wrong
Answer: 10
Step-by-step explanation:
it says round to nearest 10 your answer was 9.8 so round to 10.
hope this helps :)
(Linear Relationships LC)
Which of the following tables represents a linear relationship that is also proportional?
x y
0 3
3 6
6 9
x y
0 4
2 6
4 8
x y
0 0
6 3
12 6
x y
0 3
5 5
10 7
PLEASE I NEED HELP ASAP
All the table show the linear relationship, but none of the table show the proportional relationship.
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
Given:
A). x → y
0 → 3
3 → 6
6 → 9
To show the linear relationship:
We have to find the constant first difference.
That means,
6-3 = 3
And 9 - 6 = 3
The values of this table show the linear relationship.
To show the proportional relationship:
Let x/y = k (k is constant)
We have to find the k:
0/3 = 0,
3/6 = 1/2,
6/9 = 2/3.
The values of this table do not show the proportional relationship.
B). x → y
0 → 4
2 → 6
4 → 8
To show the linear relationship:
We have to find the constant first difference.
That means,
6-4 = 2
And 8 - 6 = 2
The values of this table show the linear relationship.
To show the proportional relationship:
Let x/y = k (k is constant)
We have to find the k:
0/4 = 4,
2/6 = 1/3,
4/8 = 1/2.
The values of this table do not show the proportional relationship.
C). x → y
0 → 0
6 → 3
12 → 6
To show the linear relationship:
We have to find the constant first difference.
That means,
3-0 = 3
And 6 - 3 = 3
The values of this table show the linear relationship.
To show the proportional relationship:
Let x/y = k (k is constant)
We have to find the k:
0/0 = undefined,
6/3 = 2,
12/6 = 2.
The values of this table do not show the proportional relationship.
D). x → y
0 → 3
5 → 5
10 → 7
To show the linear relationship:
We have to find the constant first difference.
That means,
5 - 3 = 2
And 7 - 5= 2
The values of this table show the linear relationship.
To show the proportional relationship:
Let x/y = k (k is constant)
We have to find the k:
0/3 = 0,
5/5 = 1,
10/7 = 10/7.
The values of this table do not show the proportional relationship.
Therefore, none of the table show the proportional relationship.
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Reciprocal of following expression is *
3/5×(10+35/24)
Answer:
8/55
Step-by-step explanation:
The answer to that equation is 55/8, and the reciprocal is that improper fraction flipped.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
the answer would be 30 for positive and -30 for negative
F(x)=2 sin (1/2x)+1
What is the midline of the function
Answer:
Step-by-step explanation:
Its A
Which of the following tables represents a linear relationship that is also proportional
Answer picture below
Answer:
c=200+0.4Yd find determine equlibirum level investment is =400
Answer:im pretty sure its D
Step-by-step explanation:it goes through the origin
Mary is going for a walk. She takes 3 hours to walk 9.6 miles. What is her speed?
Answer:
3.2 mph
Step-by-step explanation:
If it takes her 3 hours to walk 9.6 miles, we need to divide 9.6 by 3.
To do so, we can remove the decimal point in 9.6, to give us 96.
Then, we can divide 96 by 3 to get 32.
Add the decimal back to 32.
Doing so would give us 3.2, and our answer.
We can check this answer by multiplying 3.2 by 3, which gives us 9.6, telling us our answer is correct.
Solve: -6n + 5 < 11
Which graph shows the solutions?
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
-6-5-4-3 -2 -1 0 1 2 3 4 5 6
-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6
Answer:
graph should show an open circle on -2 with shading to the right
Step-by-step explanation:
-6n + 5 < 11
-6n < 6
n > -1
solutions consist of all number greater than -1
How many triangles can be formed with the angle measures: 20, 100, and 60 degrees?
There are infinite many triangles that can be formed with the angle measures 20, 100, and 60 degrees
How to determine the number of trianglesFrom the question, we have the following parameters that can be used in our computation:
Angles = 20, 100, and 60 degrees
The above parameters are angles
When only angles are given, the triangle can have as many side lengths as possible
This means that there are infinite many triangles
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Can someone solve this please
Answer:
u=37
Step-by-step explanation:
u+41= u+4 + u (sum of 2 interior angles is equal to exterior angle)
u+41= 2u+4
2u-u= 41-4
u=37
Please help no links!! Look at picture^^
Answer:
12,983.04
Step-by-step explanation:
[tex]1)\ A_1 = R^2 * Pi = (\frac{56}{2})^2 * 3.14 = 28^2 * 3.14 = 784 * 3.14 = 2,461.76\\[/tex]
[tex]2)\ 2,461.76 * 4 = 9,847.04\ (There\ are\ four\ semi\ circles)[/tex]
[tex]3)\ A_2 = 56^2 = 3,136[/tex]
[tex]4)\ A = A_1 + A_2 = 3136 + 9,847.04 = 12,983.04[/tex]
Plz help me well mark brainliest if correct...??
Answer:
I'm pretty sure the answer is A
Answer:
Answer is A
Step-by-step explanation:
B- The area is LxW meaning it is 3x9= 27 sq cm
C- Area LxW meaning 4x8= 32.
A- I only see 6 but this would mean that the width is 7. 7x6= 42 sq cm.
There you go: Formula is : LxW or multiplying the two numbers.< Hope it helps!
. If
the perimeter of a rectangle is 36m, and length and breath is (x+1m) and (x+5)m respectively, find its area.
Answer:
77
Step-by-step explanation:
solution
Perimeter of a rectangle (P) = 36 m
length (l) = (x+1) m
breadth (b) = (x+5) m
Area (A)= ?
We know that ;
P = 2(l+b)
or,36 = 2(x+1+x+5)
or,36 = 2 (2x+6)
or, 18 = 2x+6
or,18 - 6 = 2x
or, 12 = 2x
x = 6
length (l) = (x+1) = 6+1 = 7 m
breadth (b) = (x+5) = 6+5 = 11 m
Now;
Area (A) = l × b
= 7 × 11
= 77 square m
Answer:
77 m^2.
Step-by-step explanation:
Perimeter = 2 * (length + breadth)
36 = 2(x + 1 + x + 5)
36 = 2(2x + 6)
36 = 4x + 12
4x = 24
x = 6
So breadth = 6 +1 = 7 and
length = 6 + 5 = 11 m.
Area = length * breadth = 7 * 11
= 77 m^2
True or False? Pythagoras
theorem involves the formula a2 +
b² = c²
Answer:
true
Step-by-step explanation:
PLS HELP 10 POINTS ASAP RN PLSSSSS OR I WILL FAIL CLASS
Is a function that can be graphed discrete or continuous?
Answer:
Discrete
Step-by-step explanation:
Discrete means it has ends, and continuous means it continues on forever.
Using the following equation, find the center and radius of the circle. You must show and explain all work and calculations to receive credit. Be sure to leave your answer in exact form.
x^2 + y^2 - 8x + 2y + 13 = 0
Answer:
Step-by-step explanation:
x²-8x+16+y²+2y+1=16+1-13
(x-4)²+(y+1)²=2²
general form of a circle's equation is
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r= radius
By comparing with A,
(4,-1) is center and radius= 2.
The center of the circle is (-4,2) and the radius is 2
How to determine the center and the radius?The equation is given as:
x^2 + y^2 - 8x + 2y + 13 = 0
Rewrite as:
x^2 - 8x + y^2 + 2y + 13 = 0
Subtract 12 from both sides
x^2 - 8x + y^2 + 2y = -13
Group each variable
[x^2 - 8x] + [y^2 + 2y] = -13
-------------------------------------------------------------------
Take the coefficient of x and y
-8 and 2
Divide by 2
-4 and 1
Square both numbers
16 and 1
-------------------------------------------------------------------
Next, we add 16 and 1 to both sides of the equation
[x^2 - 8x + 16] + [y^2 + 2y + 1] = -13 + 16 + 1
Express as perfect squares and evaluate the sum
(x - 4)^2 + (y + 1)^2 = 4
Express 4 as 2^2
(x - 4)^2 + (y + 1)^2 = 2^2
A circle is represented as:
(x - a)^2 + (y - b)^2 = r^2
Where:
Center = (a,b)
Radius = r
This means that the center of the circle is (-4,2) and the radius is 2
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