Answer:
Step-by-step explanation:
6+12+18+....6n=3n(n+1)
Proof by induction
True for n = 1
6 = 3(1)(1+1)
Assume true for n = k
6+12+18+....6k=3k(k+1)
Then show that
6+12+18+....6(k+1)= 3(k+1)(k+1+1)
We add 6(k+1) to both sides of
6+12+18+....6k=3k(k+1)
6+12+18+....6k +6(k+1) =3k(k+1) + 6(k+1)
= 3(k+1)(k + 2)
= 3(k+1)(k+1+1)
So true for n = k+1
Since true for n=1 it is true for n=2,3,...
Thus true for all natural numbers n by mathematical induction
A store manager earns $24.00 per hour. If the manger works 8 hours one day and donates 1/10 of the days earnings to charity how much of the earnings are left?
A $19.20
B$29.60
C $172.80
D 192.00
If someone can help pls need soon
Answer:
Step-by-step explanation:
jimmy has 90 billion watermelons and spends on a rocket that cost 42 billion melons how much will jimmy have?
Answer:45,000,000,000 melons
Step-by-step explanation:
90,000,000,000-45,000,000,000=45,000,000,000
Firewood is often sold by the cord. A cord of wood is a bundle measuring 4 feet by 4 feet by 8 feet. What’s the volume of a cord of wood in cubic feet? A. 128 cu. ft b. 3,456 cu. ft c. 4.74 cu. ft D. 64 cu. ft.
Answer:
128 cu. ft
Step-by-step explanation:
4 x 4 x 8 = 16 x 8 = 128
Edith rides in an Oober that charges a flat rate of $6.75 plus $3.20 per mile. If the ride share service charges $40.03 in total for her trip, how many miles is her ride? Enter your NUMERICAL answer only in the box as a decimal to the nearest tenth of a mile.
Answer:
10.4 miles
Step-by-step explanation:
c(m) = trip cost
c(m) = 6.75 + 3.2m
40.03 = 6.75 = 3.2m
33.28 = 3.2m
m = 10.4
Complete the statement. 80 oz = ____ lb
Answer:
5 lb
Step-by-step explanation:
1 pound is 16lb
80 ÷16=5
Find the length of AB.
AB= [ ? ]in
Randy drew a rectangle inside another with the size shown below on a piece of paper. He places the paper outside during a light rain. What is the approximate probability that a raindrop that lands on the paper will fall outside the shaded region?
Answer:
[tex]Probability = 84\%[/tex]
Step-by-step explanation:
First, calculate both areas
[tex]Area = Length * Width[/tex]
The area of the outer rectangle is:
[tex]Big\ Area = 20 * 25[/tex]
[tex]Big\ Area = 500cm^2[/tex]
The area of the small rectangle is:
[tex]Small\ Area = 10 * 8[/tex]
[tex]Small\ Area = 80cm^2[/tex]
The area outside the small rectangle is:
[tex]Outside = Big - Small[/tex]
[tex]Outside = 500cm^2 - 80cm^2[/tex]
[tex]Outside = 420cm^2[/tex]
So, the probability that it falls outside the paper inside is:
[tex]Probability = \frac{Outside}{Big\ Area}[/tex]
[tex]Probability = \frac{420cm^2}{500cm^2}[/tex]
[tex]Probability = \frac{420}{500}[/tex]
[tex]Probability = 0.84[/tex]
Express as percentage:
[tex]Probability = 0.84*100\%[/tex]
[tex]Probability = 84\%[/tex]
See attachment for rectangle
During a walk a thon,noahs time in hours was,t,and distance in miles,d,are related by the equation 1/3d=t .A gragh of the equarion includes points (12,4)
Question:
During a walk-a-thon, Noah's time in hours was t, and distance in miles, d, are related by the equation [tex]\frac{1}{3}d = t[/tex]. A graph of the equation includes points (12,4).
1. Identify the independent variable.
2. What does the point (12,4) represent in this situation?
3. What point would represent the time it took to walk [tex]7\frac{1}{2}[/tex] miles?
Answer:
(a) d
(b) He spent 4 hours to walk 12 miles
(c) [tex](7\frac{1}{2},2\frac{1}{2})[/tex]
Step-by-step explanation:
Given
[tex]t = \frac{1}{3}d[/tex]
Solving (a): The independent variable
The independent variable, in this problem is the distance walked. Because the distance walked stands alone, and it is when the distance is known, that the time spent is known.
Hence:
The independent variable is distance (d)
Solving (b): What (12, 4) represents
This implies that:
[tex]distance = 12[/tex]
[tex]time\ spent = 4[/tex]
So: He spent 4 hours to walk 12 miles
Solving (c): Point to represent the time to walk [tex]7\frac{1}{2}[/tex] miles
This implies that:
[tex]d = 7\frac{1}{2}[/tex]
Substitute [tex]d = 7\frac{1}{2}[/tex] in [tex]t = \frac{1}{3}d[/tex]
[tex]t = \frac{1}{3} * 7\frac{1}{2}[/tex]
Express as improper fraction
[tex]t = \frac{1}{3} * \frac{15}{2}[/tex]
[tex]t = \frac{5}{2}[/tex]
Express as mixed number
[tex]t = 2\frac{1}{2}[/tex]
So: The point is, [tex](7\frac{1}{2},2\frac{1}{2})[/tex]
5. What is the inverse function of
Answer:
i think that it is. C.
i think it will help
Need help with the answer please and thank
Answer:
Here is the step: Area of triangle = 1/2 (height x base) = 1/2 (9 x 18) = 81
Step-by-step explanation:
Then the Area of the rectangular = 12 x 18 = 216
So the total Area of the figure is = 81 + 216 = 297
I hope it help.. give me brainiest
help this is due today ;::
Answer: C- 17
Step-by-step explanation:
1. A square and a rectangle have the same area. The length of the rectangle is 32
centimeters, and the width of the rectangle is 2 centimeters. What is the length, in
centimeters, of a side of the square?
Answer:
8
Step-by-step explanation:
A=l*w
32*2=64
A=s*s
s=√A
√64
=8
The length in centimeters of the side of the square is 8 cm.
What is the area of a rectangle and a square?The area of a rectangle and a square are -
A{R} = Length x Breadth
A{S} = Side x Side
Given is that a square and a rectangle have the same area. The length of the rectangle is 32 cm and the width of the rectangle is 2 cm.
It is given that -
A{R} = A{S}
Length x Breadth = Side x Side
32 x 2 = (Side)²
(Side)² = 64
Side = 8
Therefore, the length in centimeters of the side of the square is 8 cm.
To solve more questions on areas, visit the link below -
brainly.com/question/30066987
#SPJ2
Which statement is true?
A. All rectangles are squares.
B. Some trapezoids are parallelograms.
C. All squares are rhombuses.
D. No rhombuses are rectangles.
b) Select all expressions that can be used to find 85% of 280.
A.
8.5
10
280
B.
0.85
100
280
C.
85
100
280
Answer:
238
85%of 280 is 238
Step-by-step explanation:
hope this helps
Original Price Percent of Discount Sale Price $ 15% $146.54
Answer:
$21.98
Step-by-step explanation:
Answer:
172.40
Step-by-step explanation:
What is the probability of landing on red and rolling a number greater than 2?
1/6
1/4
1/3
1/2
what is 49cm^2 in mm^2
Answer:
4900mm^2 or 24010000mm
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST!!!
Answer:
The answer is 8.304 then 8.92 then 167/20 then 8 3/10. :)
Step-by-step explanation:
Answer:
8 3/10, 8.304, 167/20, 8.92
Step-by-step explanation:
Turn all of them into decimals
8 3/10 = 8.30
8.304
167/20 = 8.350
8.92
how do you solve fire x.
Answer:
x = 10
Step-by-step explanation:
Sum of all the angle of triangle = 180
71 + 50 + 6x - 1 = 180
71 + 50 -1 + 6x = 180
120 + 6x = 180
6x = 180 - 120
6x = 60
x = 60/6
x = 10
Which expression is equivalent to 3(6+p) ?
Answer:
18 + 3p
Step-by-step explanation:
Using distributive property:
3(6+p)
18 + 3p
HELP FAST!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the answers are down below
Step-by-step explanation:
1. 17/5
2. 31/4
3. 7/3
4. 3/2
5. 23/5
6. 20/3
7. 19/2
8. 35/4
9. 47/6
10. 21/4
I hope this helps :)
Elaine worked 48 hours last week. Her hourly rate is $9.20. What was her GROSS PAY?
Answer:
48 × 9.20 = 441.60
Step-by-step explanation:
gross wages can be calculated by multiplying the number of hours worked by the employee's hourly wage.
the length of a rectangle is 6 feet longer than its width the perimeter is less than 48 feet write a mathematical expression for the width of the rectangle
Answer:
288
Step-by-step explanation:
ryan has some (donuts) he takes 5 away how many donuts does ryan have now.
d - 5 = ?
Answer:
7
Step-by-step explanation:
round nearest hundredth
Answer:.
Step-by-step explanation:nearest hundredth the answer for this question is joe mama
A pair of jeans is on sale for $56 at 35% off. What is the original price of the jeans? Show your work to receive full credit
does 13, 12, 6 form a pythagorean triple?
Answer:
No
Step-by-step explanation:
the pythagorean theorem is
a^2+b^2=c^2
These numbers do not fit in these terms
Answer:
It doesn't.
Step-by-step explanation:
In order for something to be a {ythagorean triple, it must comply with the Pythagorean theorem, which is a² + b² = c²
Always remember, when plugging in the values into that equation, the exponent of two means to square the number, and a and b have to be the two smallest values (in this case, 6 and 12)
6² = 36
12² = 144
36 + 144 = 180
Now, we have to find if ti equals c². 13² equals 169
Therefore, 180 ≠ 169, therefore it IS NOT a Pythagorean triple.
Find the surface area
Please explain
Step-by-step explanation:
There are two trapezium(s), area of 2:
= 2 [½ x (sum of || sides) x height]
= 2[½ x (4 + 8) x 4.6 ] [not clearly visible if it is 4.5 or 4.6]
= 55.2 yd²
Area of vertically tilted rectangles
1): area = 5 x 4 = 20 yd²
2): area = 5 x 4 = 20 yd²
Total area = 20 + 20 = 40 yd²
Area of horizontal rectangles:
1): area = 4 x 8 = 32 yd² [upper]
2): area = 4 x 4 = 16 yd² [lower]
Area of given surface = 55.2 + 40 + 32 + 16 = 143.2 yd²
which method between graph method and table method friendly use? Motivate your answer
Answer:
in my experience table method is friendly use because it is easier to work with than a graph