Answer:
Step-by-step explanation:
volume of cone v=1/3πr²h
volume of cylinder V=πr²h
V=3v
volume of cylinder=3×222=666 cubic cm.
Ms. Joseph is saving money for a trip to Zearnland over 12 weeks. She starts with 1 dollar. In the second week, she adds 2 dollars. Each week she adds 1 more dollar than she did the week before. How many weeks will she be saving money?
Answer: $78
Step-by-step explanation:
You start out with $1
$2 = second week $3 = third week $4 = fourth week $5 = fifth week $6 = sixth week $7 = seventh week $8 = eighth week $9 = ninth week $10 = tenth week $11 = eleventh week $12 = twelth week
then you add it all up = 1+2+3+4+5+6+7+8+9+10+11+12 that would equal to $78
State the mathematical properties of all the steps in the equation below.
(2x + 3) − 7 = 8 + x Problem Statement.
(2x + 3) + (−7) = 8 + x _____________
((2x + 3) + (−7)) + 7 = (8 + x) + 7_____________
(2x + 3) + (−7 + 7) = (8 + x) +7 _____________
(2x + 3) + 0 = (8 + x) + 7 _____________
2x + 3 = (8 + x) + 7 _____________
2x + 3 = 7 + (8 + x) _____________
2x + 3 = (7 + 8) + x _____________
2x + 3 = 15 + x _____________
(2x + 3) + (−3) = (15 + x) + (−3) _____________
2x + (3 + (−3)) = (15 + x) + (−3) _____________
2x + 0 = (15 + x) + (−3) _____________
2x = (15 + x) + (−3) _____________
2x = (−3) + (15 + x) _____________
2x = (−3 + 15) + x _____________
2x = 12 + x _____________
2x + (−x) = 12 + x + (−x) _____________
2x + (−x) = 12 + 1 · x + (−x) _____________
2x + (−x) = 12 + 1 · x + (−1) · x _____________
2x + (−x) = 12 + (1 + (−1))x _____________
2x + (−x) = 12 + 0 · x _____________
2x + (−x) = 12 + 0 _____________
2x + (−x) = 12 _____________
2x + (−1) · x = 12 _____________
(2 + (−1)) · x = 12 _____________
1 · x = 12 _____________
x = 12 Solution
Answer:
173*3*j3
Step-by-step explanation:
naksbvajahagcgaja
Answer:
HIHHIHIHIHIHIHIHIH
Step-by-step explanation:
IHIHIHIHIHIHIHIHIH
Area of the grass area only:
Area of the track only:
Answer:
Step-by-step explanation:
area including track=area of 2 semi circles+area of rectangle
=2×1/2×π×46²+86×65
=2116 π+5590
area of grass=2×1/2×π×40²+80×65=1600π+5200
≈10226.55 m²
area of track=2116π+5590-1600π-5200
=516π+390
≈2011.06 m²
The graphs of f(x) and g(x) are shown.
If g(x)=f(x)+k, what is the value of k?
Answer:
the answer is :
value of k is 2
Use SOH CAH TOA to find the missing side.
sin(43) × hypotenuse of 19 gives you oppo
= 13
what is the value of x?
Answer:
6 sqrt(3) = x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 60 = x/12
12 sin 60 =x
12 ( sqrt(3)/2) =x
6 sqrt(3) = x
Answer:
x=6[tex]\sqrt{3}[/tex]
Step-by-step explanation:
take 60 degree as reference angle
using sin rule
sin 60=opposite/hypotenuse
[tex]\sqrt{3[/tex]/2=x/12
do cross multiplication
2*x=12*[tex]\sqrt{3}[/tex]
x=12[tex]\sqrt{3}[/tex] /2
x=6[tex]\sqrt{3}[/tex]
Challenge. Add a number to the original data set based on the instructions below:
Original data set:
3, 10, 8, 3, 10, 1, 10,
A)
Fill in the blank with a number that would make the range of the data set 20.
3, 10, 8, 3, 10, 1, 10,
B)
Fill in the blank with a number that would make the mean of the data set 15.
3, 10, 8, 3, 10, 1, 10,
C)
Fill in the blank with a number that would make the standard deviation smaller.
3, 10, 8, 3, 10, 1, 10,
Answer:
A) 23
B) 75
C) 6.30
Step-by-step explanation:
A) Range = highest value - least value
Range = 20
least value = 3
Thus,
20 = highest value - 3
highest value = 20 + 3
= 23
The number that would make the range of the data set 20 is 23.
B) Let the number be represented by x, so that;
15 = [tex]\frac{3 + 10 + 8 + 3 + 10 + 1 + 10 + x}{8}[/tex]
cross multiply to have
15 x 8 = 45 + x
120 - 45 = x
x = 75
The number that would make the mean of the data set 15 is 75.
C) The given data plus a number that is close to the mean would reduce the standard deviation.
mean of the data set = [tex]\frac{3+10+8+3+10+1+10}{7}[/tex]
= 6.43
The required number could be 6.30
can someone help me with this Q :)
Answer:
its the digram: )
Step-by-step explanation:
Answer:
*888888888877727723772289292
Step-by-step explanation:
88ejei49 + 710 is 49 + 710 is 10390..49 + 710 is 10390.
Find the equation of the line with slope zero passing through A(-4, 7).
Answer:
y =7
Step-by-step explanation:
A line with zero slope is
y = constant
The y value for the point is 7
y =7
Answer:
0x+7=y
Step-by-step explanation:
0(-4)+b=7
0+b=7
b=7
Martha has two pet poodles. Fifi, her standard poodle, weighs 7 times as much as
Buttercup, her toy poodle.
Pick the diagram that models the ratio in the story.
Fifi
Buttercup
Fifi
Buttercup
If Fifi weighs 56 pounds, how much does Buttercup weigh?
pounds
Answer:
Buttercup weighs 8 pounds
Step-by-step explanation:
Sorry I can't pick a diagram, since we can't see a photo.
if b is Buttercup and f is Fifi, substitute in Fifi's weight, and solve for b
b x 7 = f
7b = 56
divide both sides by 7
b = 8
Determine the answer to (-3) + (-5) using a number line
Answer:
---
Step-by-step explanation:
Start at -3. Then subtract 5 from it(or go backwards 5).
---
hope it helps
What is the slope of the line shown?
Answer:
1/2
Step-by-step explanation:
8.
Which quadratic function is shown in the graph below?
At 6 a.m., the temperature was –8°C. By noon, the temperature had risen 6°C. The temperature at 6 p.m. was –10°C. Which integer represents the temperature change between noon and 6 p.m.?
–24
–12
–8
–4
Answer:
-8
Step-by-step explanation:
so -8 + 6 = -2. and then for that to drop to -10, it would have to change -8 degrees
Answer:
Step-by-step explanation:
-8 is the answer
a) Complete the table of values for y = 2x2 + x
Melanie recorded a number with two sevens. The value of the first 7 is 7,000. The value of the second 7 is 700. Which could be Melanie's number?
Answer:
7700.
im not sure if the 00 are to be other numbers but 7700 should be your number
Solve for b. -11b+7 =40 what does b equal
which statement would be true if you evaluate the expression 15x(465x4)
a. the solution is 5 times as small as 3x(465x4)
b. the solution is 3 times as small as 3x(465x4)
c. the solution is 3 times as large as 5x(465x4)
d. the solution is 3 times as large as 5x(465+4)
Answer:
c. the solution is 3 times as large as 5x(465x4)
Step-by-step explanation:
I assume you are using the letter x as the multiplication sign.
Start with:
15 x (465 x 4)
We know that 15 = 3 x 5
Now we replace 15 with 3 x 5 in the original expression.
15 x (465 x 4) = 3 x 5 x (465 x 4)
Answer: c. the solution is 3 times as large as 5x(465x4)
Help I need a answer
Answer:
C
Step-by-step explanation:
The verticle line on the left is the minimum and is 4 for both
What is the solution to the inequality below x2 > 64
Answer:
Step-by-step explanation:
x2
A pencil company packs pencils in boxes of 8. How many boxes can they pack with 32,000 pencils? *
A 40,000
B 4,000
C 400
D 40
Answer:
B: 4,000
Step-by-step explanation:
32000/8=4000
Answer:
4000
Step-by-step explanation:
32000/8............
show that 21^n, n €N can never ends with 0,2,4,6 and 8
Answer:
Step-by-step explanation:
[tex]21 ^n = (3 \times 7)^n[/tex]
21 has no 2 in it's prime factorization. So it can never end in 0, 2 , 4 , 6 , 8.
OR
Odd number raise to any number is always odd, Which does not include 2, 4, 6 , 8.
So [tex]21^n[/tex] does not end with 0, 2, 4 , 6 , 8.
Write the equation of a line perpendicular to y = -5x + 1 that goes through (10. 4).
Show all work.
Answer:
y = 1/5x + 2
Step-by-step explanation:
y = 1/5x + b
4 = 1/5(10) + b
4 = 2 + b
2 = b
2x/7-3=2
What is the value of x
Answer:
35/2 or 17.5
Step-by-step explanation:
2x / 7 - 3 = 2
2x / 7 - 3 + 3 = 2 + 3
2x / 7 = 5
(2x /7) x 7 = 5 x 7
2x = 35
x = 35/2 or 17.5
Answer:
[tex]x = \frac{35}{2} [/tex]
Step-by-step explanation:
[tex] \frac{2x}{7} -3=2[/tex]
[tex] \frac{2x}{7} = 2 + 3[/tex]
[tex]\frac{2x}{7} = 5[/tex]
[tex]x = \frac{7}{2} \times 5[/tex]
[tex]x = \frac{35}{2} [/tex]
Decimal Form:
[tex]x = 17.5[/tex]
Mixed Number Form:
[tex]x = 17 \frac{1}{2} [/tex]
Hope it is helpful...What is the value of tan (–3 pi/4 )?
have no idea how to do this
Answer:
ans: option C is correct answer
Step-by-step explanation:
follow steps as shown in picture above,
b) Write 25 x 10^6 in standard form.
Answer:
25000000
hope this helps
have a good day :)
Step-by-step explanation:
A salesman is paid $450 a week, plus a commission of 35 cents for every item that he sells. Write a linear function where the paycheck, P, of the salesman is a function of the number, N, of items he sells. If the salesman only has 1400 items available to sell each week, find the domain and range of the function.
Answer:
Step-by-step explanation:
1400×0.35
490+450
940
Answer:
The domain is thus [0, 1400].
The range is thus [$450, $940]
Step-by-step explanation:
A suitable function is P(N) = ($450) + ($0.35 / item)*N, where $450 is the base pay per week and N is the number of items sold.
In this case the salesman has only 1400 items available to sell each week. Therefore N begins at 0 (no items to sell) and ends at 1400 (the max number of items available to sell). The domain is thus [0, 1400].
The smallest amount the salesman could receive would be when he has not sold any items: $450.
The max amount is then $450 + ($0.35/item)(1400 items), or
$450 + $490, or
$940
The range is thus [$450, $940]
If K(4,-5) is rotated counter clockwise 270°, what will be the coordinates of its image?
K'(5,-4)
K'(5, 4)
K'(-4,5)
K'(-5,-4)
Answer:
(-5, -4)
Step-by-step explanation:
The formula for a point (x, y) rotating 270 degrees counterclockwise is that it turns into (y, -x). Thus, for (4, -5), its image would be (-5, -4)
if logx √2 = 1/6
, then x =?
Step-by-step explanation:
logx√2=1/6
<=> logx(2^1/2)=1/6
<=>1/2.logx(2)=1/6
<=>logx(2)=1/3
<=>2=x^1/3
<=>x=
Sorry I forgot the formula in the last step
Answer:
v= 331m/s +(0.6 m/s /°C)×T
Given,
T=40°C
Substituting the value of T we get,
v=331m/s +(0.6 m/s /°C)×40°C
= 331m/s +(0.6 m/s)×40
= 331m/s+(24.0)
=355m/s