A cylinder has a radius of 5 cm and a height of 8 cm. What is the volume of the cylinder in terms of π?
Answer:
The answer to the question is 80π
On two investments totaling $6,500, Lydia lost 7% on one and earned 8% on the other. If her net annual receipts were $364, how much was each investment?
Answer:
$3,442.40
$3,057.60
Step-by-step explanation:
The computation of the each investment is as follows:
let us assume the one investment be x
And, the other investment be y
So
According to the question
x + y = $6,500
And,
-7x + 8y = $364
Now multiply by 7 in equation 1
7x + 7y = $45,500
-7x + 8y = $364
15y = $45,864
y = $3,057.60
x = $6,500 - $3,0657.60
= $3,442.40
I need help please :)
Express y in terms of x.
Variables x and y are related so that, when
[tex]y ^{2} [/tex]
is plotted on the vertical axis
and
[tex]2 ^{x} [/tex]
is plotted on the horizontal axis, a straight-line graph which passes
through the point (8, 49) with gradient 3 is obtained.
a Express ya in terms of
[tex] {2}^{x} [/tex]
.
b Find the value of x when y = 11.
Answer: Saya benar-benar membutuhkan poin tetapi saya tidak ingin dilaporkan jadi saya meletakkan ini adalah terjemahan untuk bahasa yang berbeda. Saya minta maaf untuk umpan atau apa pun namanya tetapi saya benar-benar membutuhkan poin.
Step-by-step explanation:
Given the following data set 2,3,1,6,1,1,1,0,2,4,5,1,2,2,3
Mean
Median
Range
Mid range
Answer:
mean: 34/15=2.27
median: 2
range: highest-lowest...... 6-0=6
mid range: high + low divided by 2
6+0=6/2=3
Answer:
Mean: 2.27
Median: 2
Range: 6
Mid-range: 3
Step-by-step explanation:
The mean is adding the average of the data set; add up all numbers, then divide by how many numbers there are.
2 +3 + 1 + 6 + 1 + 1 + 1 + 0 + 2 + 4 + 5 + 1 + 2 + 2 + 3 = 34
There are 15 numbers in this data set.
34 ÷ 15 = 2.26666666667 ≈ 2.27 (nearest hundredth)
2.27 is the mean.
-------------------------------------------------------------------------------------------------------------The median is the middle number after putting the data set in numerical order.
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The median is 2.
--------------------------------------------------------------------------------------------------------------
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The range is the smallest number subtracted from the largest number.
6 - 0 = 6
6 is the range.
--------------------------------------------------------------------------------------------------------------
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The formula for mid-range is:
Maximum value + largest value ÷ 2.
The largest value is 6.
The minimum value is 0.
6 + 0 = 6
6 ÷ 2 = 3.
The mid-range is 3.
lol please help me i really don’t get this
Answer:
If y is inversely proportional to x then y is 3
mel randomly selects a coin 150 times of which she selects a dime 30 times
Answer:
Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.
hope this helps
have a good day :)
Step-by-step explanation:
(2x-4)^2 please solve with steps
Answer
what is the equation equal to
Step-by-step explanation:
If thats the only thing they give it is (2x-4)(2x-4)
Answer:
4x - 16
Step-by-step explanation:
2x x 2x = 4x (2x^2)
4 x 4 = 16 (4^2)
You had to distribute that ^2.
Keep the SUBTRACTION sign.
therefore your answer is:
4x - 16
Each dance class is 3/4 hour. It takes a student 7 1/2 hours to learn a dance routine. Which
statement is true?
Answer:
option D
Step-by-step explanation:
7 1/2 divided by 3.4 = 10.
The student will need 10 dance classes to learn the routine.
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.
Answer:
6:5
Step-by-step explanation:
Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.
The algae is spherical in nature
Volume of the algae =4/3 pi r³
Volume of the algae = 4/3×pi×2.5³
Volume of the algae = 62.5/3 pi
Surface area = 4pi r²
Surface area = 4pi ×2.5²
Surface area = 25pi
Taking their ratio
surface area : volume ratio
= 25pi:62.5/3 pi
= 25 × 3/62.5
= 1.2
Hence the required ratio is 12/10 which is 6:5
This number is greater than 1 and both the square of an integer and the cube of an integer? What is the number?
Answer:
64
8² = 64
4³ = 64
Shana plans to borrow $1,300 to buy a guitar. One bank is offering a simple interest rate of 5% per year on borrowed amounts. Another bank is offering a simple interest rate of 4%. Shana plans to repay the loan in 3 years. In dollars, how much can she save by borrowing from the bank with the lower interest rate? Record your answer in the box.
Answer:
5% times 3=15%
4% times 3=12%
15-12=3
1300 times 0.03= $39
39 dollars.
Todd can run 1/2 a mile in 1/12 of an hour. what is todd’s rate in miles per hour?
Answer:
Step-by-step explanation:
(1/2 mile)/(1/12 hour) = 12/2 = 1 mph
How long it takes someone to walk a trail depends on the length of the trail, which you did not provide. The formula is distance = rate*time, so time = distance/rate. You know the rate = 1 mph
Find the measurements of side bc
44.95
19.73
39.82
40.31
Answer:
Option B
Step-by-step explanation:
By applying cosine rule in the given triangle ABC,
BC² = AC² + AB² - 2(AC)(AB)cos(∠A)
BC² = (26)² + (23)² - 2(26)(23)cos(47°)
BC² = 676 + 529 - 815.67
BC² = 389.33
BC = √(389.33)
BC = 19.73
Therefore, Option B will be the correct option.
1/5 + 1/6 in fraction formm
A 7.0 kg textbook is placed in a shelf 1.5 m high. What is the potential energy relative to the floor?
Answer:
PE = 102.9 Joules
Step-by-step explanation:
PE = mgh
= (7.0 kg)(9.8 m/s^2)(1.5 m)
= 102.9 Joules
The distance between two cities is 4000 kilometers. One kilometer is 6 10 millimeters. What is the distance between the two cities in millimeters?
Answer: 4,000,000,000 mm
Step-by-step explanation:
One kilometer is 10^6 or 1000000 millimeters
So 4000x1000000
4x1 is 4
Annex the zeros. There are 9 zeros.
= 4,000,000,000 millimeters
The distance between the two cities in millimetres of 4,000,000,000 mm
What is a distance?
Distance is defined as the length between the two points just like in the question it is the length between the two cities.
We know that:-
One kilometer is 10^6 or 1000000 millimeters
So 4000x1000000
4x1 is 4
Annex the zeros. There are 9 zeros.
= 4,000,000,000 millimeters
Therefore the distance between the two cities in millimetres of 4,000,000,000 mm
To know more about distance follow
https://brainly.com/question/2854969
#SPJ2
Peter says If you subtract 14 from my number and multiply the difference by -2, the result is -44 What is Peters number?
Answer:
36
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Let the number be x, then
First subtract 14 from number x, then
x - 14
Now multiply difference by -2, results -44
(x - 14) × -2 = -44
By solving equation,
-2X + 28 = - 44
- 2X = -44 - 28
X = -72 ÷ -2
x = 36
So, Peter's number is 36.
A triangle has sides with lengths of 6 miles, 11 miles, and 15 miles. Is it a right triangle?
Answer:
No
Step by step explanation:
a² + b² = c²
6² + 11² = 15²
36 + 121 = 225
157 =/= 225
Answer:
No
Step-by-step explanation:
15 would be the longest angle or, the angle directly across the right angle
To see if this is a right angle, you'd have to do 11²+6², if it was a right angle, the answer would be 15² which it isn't so, it's not a right angle
...help me pls with this work i'm timed
Answer:
10 cm
Step-by-step explanation:
multiply first 4×2 which is Base. then multiply by 1 1/4 which is 10
solve the simultaneous equation
2x + 4y=1
3x - 5y=7
Answer:
x = 3/2 or 1.5.
y = -1/2 or -0.5.
Step-by-step explanation:
Solve for one equation, one variable.
2x + 4y = 1
subtrract 4y from both sides.
2x = 1 - 4y
divide by 2 to get x by itself.
x = 1/2 - 2y
Now that we have this, we can put it into the other equation.
3x - 5y = 7
Substitute variable.
3(1/2 - 2y) - 5y = 7
Distribute the 3.
1.5 - 6y - 5y = 7
Combine terms.
-11y + 1.5 = 7
Subtract by 1.5.
-11y = 5.5
Divide by -11.
y = -1/2, or -0.5.
Now we can find x. Substitute this into the initial equation.
2x + 4y = 1
Substitute variable.
2x + 4(-1/2) = 1
Multiply.
2x + (-2) = 1
Simplify.
2x - 2 = 1
Add 2 to both sides.
2x = 3
Divide by 2.
x = 3/2, or 1.5.
x = 3/2 or 1.5.
y = -1/2 or -0.5.
a gping out if bisinuess sale has the entire store marked 80./. off
Answer:
huh- So lemme get this straight if a dollar tree (where I live) goes out of business I can buy it for like 20 cents??? AWESOME. I'll do that.
Step-by-step explanation:
One diagonal of the kite is three times as long as the other diagonal. If the area of the kite is 48 square meters, what is the length of each diagonal?
Given:
One diagonal of the kite is three times as long as the other diagonal.
The area of the kite is 48 square meters.
To find:
The length of each diagonal.
Solution:
We know that, the area of the kite is:
[tex]A=\dfrac{d_1d_2}{2}[/tex]
Where, [tex]d_1,d_2[/tex] are two diagonals of a kite.
It is given that, one diagonal of the kite is three times as long as the other diagonal.
Let [tex]d_1=3d_2[/tex]. Then the area of the kite is:
[tex]A=\dfrac{3d_2d_2}{2}[/tex]
[tex]A=\dfrac{3d_2^2}{2}[/tex]
The area of the kite is 48 square meters.
[tex]\dfrac{3d_2^2}{2}=48[/tex]
[tex]3d_2^2=2(48)[/tex]
[tex]d_2^2=\dfrac{96}{3}[/tex]
[tex]d_2^2=32[/tex]
Taking square root on both sides, we get
[tex]d_2=\sqrt{32}[/tex] [It is only positive because side length cannot be negative]
[tex]d_2=4\sqrt{2}[/tex]
Now,
[tex]d_1=3d_2[/tex]
[tex]d_1=3(4\sqrt{2})[/tex]
[tex]d_1=12\sqrt{2}[/tex]
Therefore, the diagonals of the kite are [tex]4\sqrt{2}[/tex] units and [tex]12\sqrt{2}[/tex] units.
Please help ASAP!!!!Determine the total number of outcomes.
Picking a card from a standard deck then rolling a standard die.
A. 312
B. 58
C. 2
D. 46
Answer:
I believe it would be A
Step-by-step explanation:
A deck of cards has 52 cards in it, so it cant be C or D, and with all the possibilities it could not be B
Please helppppppppppppppppp
Answer:
Step-by-step explanation:
1)
a/c =b/d where a=27 c=30 b=x d=18
27/30 = x/18
27*18/30=x
16.2 = x
2)
a/c =b/d where a=2x-5 c=x+11 b=16 d=14
2x-5 / x + 11 = 16 / 14
14(2x-5) = 16(x+11)
28x - 70 = 16x + 176
12x = 246
x = 20.5
3)
6+15 / 7+x = 7 /6
6(6+15) = 7(7+x)
6*21 = 49 +7x
126 = 49 +7x
77 = 7x
11 = x
4)
3*[(x-6)+3]=[tex]6^{2}[/tex]
3(x-3) = 36
3x-9 = 36
3x = 45
x = 15
The 4th ans pls anyone?
Answer:
associative property of multiplication
Step-by-step explanation:
I hope this helps you :)
Can you please help me with these questions in this link!
https://www.geogebra.org/classroom/ayzub3c4
Answer:
which question you need answered
Step-by-step explanation:
The area of a rectangular carpet is 96 square feet. The length of the carpet is 12 feet. What is the width of the carpet?
A. 8 feet
B. 12 feet
C. 24 feet
D. 36 feet
Answer:
A. 8 feet
Step-by-step explanation:
96 = 12 (x)
96/12 = x
8 = x
What is the perimeter of the rectangle with the vertices shown below? A(4, 7), B(4, 15), C(9, 15), D(9,7)
Answer:
[tex]X=26[/tex]
Step-by-step explanation:
From the question we are told that:
Co_ordinates of rectangle:
[tex]A(4, 7),\\ B(4, 15),\\C(9, 15),\\D(9,7).[/tex]
Generally the equation for rectangular Perimeter X is is mathematically given by
[tex]X=2(length+breath)\\X=2L+2B[/tex]
Generally the Length of the rectangle is mathematically given by
[tex]L=(y\ axis\ co-ordinate\ of\ C)-(y\ axis\ co-ordinate\ of\ D)\\or\\L=(y\ axis\ co-ordinate\ of\ B)-(y\ axis\ co-ordinate\ of\ A)[/tex]
Therefore
[tex]L=15-7\\L=8[/tex]
Generally the Breath of the rectangle is mathematically given by
[tex]B=(x\ axis\ co-ordinate\ of\ D)-(x\ axis\ co-ordinate\ of\ A)\\or\\B=(y\ axis\ co-ordinate\ of\ C)-(y\ axis\ co-ordinate\ of\ B)[/tex]
Therefore
[tex]B=9-4\\B=5[/tex]
Generally the rectangular Perimeter X is is mathematically given by
[tex]X=2(8)+2(5[/tex]
[tex]X=26[/tex]