Answer:
38π cubic units
Step-by-step explanation:
The volume V = ∫₀²πy²dx
Since y = 3x + 1, dy = 3dx ⇒ dx = dy/3
So, when x = 0, y = 3(0) + 1 = 0 + 1 = 1
when x = 2, y = 3(2) + 1 = 6 + 1 = 7
So, changing the variable to y and the limits of integration from y = 1 to y = 7, we have
V = ∫₀²πy²dx
V = π∫₁⁷y²dy/3
V = π[y³/3]₁⁷/3
V = π[y³]₁⁷/9
V = [7³ - 1³]π/9
V = [343 - 1]π/9
V = 342π/9
V = 38π cubic units
Which statement describes the linear graph
Answer:
B.
Step-by-step explanation:
simplify 5^-2
please help me! i don't know how to do it and its due today
0.04
jndjnwjnc jwnfjnjwfjn jn jnwjnj njnfjbfwhijfkwb jnj nwjnjfjwkf n
The owners of a large pet store have determined that 65\ee, percent of their customers own dogs. They select 151515 customers at random to survey. Let DDD be the number of customers they survey who have dogs.What type of variable is DDD
Answer:
D is a binomial random variable with [tex]p = 0.65, n = 15[/tex]
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they have dogs, or they do not. The probability of a customer having a dog is independent of any other customer. This means that D is a binomial random variable.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
65% of the customers have dogs:
This means that [tex]p = 0.65[/tex]
15 customers:
This means that [tex]n = 15[/tex]
What type of variable is D?
D is a binomial random variable with [tex]p = 0.65, n = 15[/tex]
Answer:
binomial
Step-by-step explanation:
Find two numbers that multiply to be -18 and add up to be -7
Select the correct answer from the drop-down menu.
Consider this system of linear equations:
y- x= -13
-4x + 3y = -51
The solution of the system of equations is
Reset
Next
Answer:
y - x= - 13 -------(1)
- 4x + 3y = -51 -------(2)
(1) => y = - 13 + x
Substitute y in (2)
- 4x + 3( - 13 + x) = -51
- 4x - 39 + 3x = -51
- x = -51 + 39
- x = -12
x = 12
Substitute x in (1)
y = - 13 + x = -13 + 12 = - 1
x = 12, y = -1
Item 23 Find the sale price. Original price: $50 Discount: 15% Item 23 Find the sale price. Original price: $50 Discount: 15%
Answer:
$42.50
Step-by-step explanation:
discount reduces the price of the good
discount value = 15% x 50 = 0.15 x 50 = 7.5
sales price = 50 - 7.5 = 42.50
a chord 30cm long is 20cm from the centre of a circle. Calculate the length of a chord which is 24cm from the centre. please show workings
The length of a chord which is 24cm from the Centre is: 14 cm
How to find the length of the chord?Applying the Pythagorean theorem to the two right angle triangles that will be formed gives the radius of the circle from the first condition as:
R = √[(30/2)² + 20²]
R = √(15² + 20²)
R = √625
R = 25 cm
The length L of the another chord is calculated as:
L/2 = √(R² - 24²)
L/2 = √(25² - 24²)
L/2 = √49
L/2 = 7
L = 14 cm
Read more about Length of Chord at; https://brainly.com/question/30804688
#SPJ1
Azlyn can ride her horse 15.2 miles per hour. She is in an endurance race that is 76 miles
long! How long should this race take her to complete?
Step-by-step explanation:
Remember, math is a language
when you see per think fractions
15.2 miles per hour = 15.2 miles / 1 hour
since this is a fraction, Units can cancel just like numbers
To cancel miles and be left with hours rearrange the fraction
1 hour / 15.2 miles
then multiply by 72 miles
[tex] \frac{1hour}{15.2miles} \times 72miles[/tex]
the miles cancel and youre left with hours!
so youd write and solve 72 / 15.2
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP Which statement would be LEAST LIKELY to occur based on the probability?
Answer:
i believe the answer is 1/9, sry if im wrong
Step-by-step explanation:
Determine the surface area of the cylinder in terms of π.
602π cm2602π cm2
812π cm2812π cm2
308π cm2308π cm2
518 cm2
hey! i’ll give brainliest please help
Answer:
It would be a simple sentence, since it is a single clause by itself.
Note that this is something for the Language Arts section, please post your questions of that topic in that section, not in the Math section.
please answer this question
Answer:
see explanation
Step-by-step explanation:
(a)
[tex]\frac{3}{7}[/tex] a × - [tex]\frac{21}{15}[/tex] b ( cancel 3 and 15 and 7 and 21 )
= a × - [tex]\frac{3}{5}[/tex] b
= - [tex]\frac{3}{5}[/tex] ab
(b)
3xy(5x²y² - 4yz) ← multiply each term in the parenthesis by 3xy
= 15x³y³ - 12xy²z
Use the equation below to find c, if a = 39 and b= 27.
c=180-a-b
c=0
X
5 ?
Answer:
the answer is 114
Step-by-step explanation:
25% of all the cakes a baker makes are fruit cakes. The baker made 5 fruit cakes. What is the total number of cakes the baker made?
Answer:
so here 25%=5
25×2=50, 5×2=10
50%=10
50%+50%=10+10
100%=20
baker makes total 20 cakes
out of 2 billion person trips, 75 percent were leisure travel. what was the number of person trips for leisure travel?
The number of personal trips for leisure travel will be equal to 1.5 billion.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that out of 2 billion person trips, 75 per cent were leisure travel.
The number of the person trips will be calculated as,
N = ( 2 x 75 ) / 100
N = 150 / 100
N = 1.5 Billion
Therefore, the number of personal trips for leisure travel will be equal to 1.5 billion.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ2
the maddens drove 120 miles in 4 hours, at this rate how long will it take them to drive 480 miles.
Answer:
16 hours
Step-by-step explanation:
120/4 = 30 miles per hour
480/30 = 16 hours
Please help me!
Find the indicated sum for each sequence.
S9 of –9, 36, –144, 576, ...
Answer:
the answer is to multliply it by -4
Oscar rides his skateboard 58
5
8
mile in 14
1
4
hour. How fast, in miles per hour, does he ride his skateboard?
Answer:
about 4.1 miles per hour
7 1/2 divided by 3/4 =
Answer:
10
Step-by-step explanation:
[tex]7 \frac{1}{2} \div \frac{3}{4} \\ [/tex]
[tex] \frac{15}{2} \div \frac{3}{4} \\ [/tex]
[tex] \frac{15}{2} \times \frac{4}{3} \\ [/tex]
[tex] \frac{60}{6} = 10 \\ [/tex]
What is the volume of the figure?
9514 1404 393
Answer:
C. 205.3 units²
Step-by-step explanation:
The volume of the figure is the sum of the volumes of ...
1/2 sphere of radius 2
cylinder of radius 2 and length 12
cone of radius 2 and length 9
The formulas for the volumes of a sphere, cylinder, and cone are ...
V = 4/3πr³ . . . sphere
V = πr²h . . . . cylinder
V = 1/3πr²h . . . cone
Then the sum of the volumes is ...
1/2 sphere + cylinder + cone = (1/2)4/3πr³ +πr²h +1/3πr²h'
where h is the cylinder height and h' is the cone height
= πr²(2/3r + h + 1/3h')
= π(2²)(2/3·2 +12 +1/3·9) = π(4)(16 1/3) = π(65 1/3) ≈ 205.2507
The volume of the figure is about 205.3 units³.
Which phrase represents the algebraic expression for r + 12?
A. The difference of a number and twelve.
B. The product of a number and twelve.
C. The quotient of a number and twelve.
D. The sum of a number and twelve.
Answer: D) The sum of a number and twelve
==================================================
Explanation:
r = an unknown number
r+12 = sum of the unknown number and 12
The term "sum" refers specifically to the result of an addition problem.
As another example, saying 2+3 = 5 has a sum of 5.
Find the line of inclination of the line if its slope is -√3
Answer:
120° or 300°
Step-by-step explanation:
Given,
Slope (m) = -√3
Inclination (α) = ?
Now,
We know,
m = tanα
or, -√3 = tanα
or, tan(120° or 300°) = tanα
∴ α = 120° or 300°
∴ Inclination is 120° or 300°
Please help me this is due tomorrow thank you
Answer:
The answer is option B.
Step-by-step explanation:
Answer: D
Step-by-step explanation:
The histogram shows driving to work so A even though it looks like it may fit there is no way to assume they don’t drive at all
Hope this helps
4 – (3 – 5) =
Possible Answers:
A. -4
B. -2
C. 6
D. 12
Answer:
6
Step-by-step explanation:
4 – (3 – 5) =
PEMDAS says parentheses first
4 – (-2) =
Subtracting a negative is like adding
4 +2
6
Answer:
2-
Step-by-step explanation:
.....................................................................
How many sides does a regular polygon have if each of its interior angles is 165 degree.
What is another way to write this??
Answer:
b is the answer
....................
Answer:
B.
Step-by-step explanation:
The negative (-) must be within the parentheses “(..)”. The expression is repeated four times, thus (-2/3)^4
ILL GIVE YOU BRAINLIEST!!
Answer:
10[tex]\pi[/tex]
Step-by-step explanation:
Length of arc = [tex]\frac{theta }{360} * 2\pi r[/tex]
= [tex]\frac{150}{360} * 2 \pi * 12\\[/tex]
= [tex]10\pi[/tex]
HELP ME PLEASEESWSAS
Solve the following equation for x.
2 + x^2 = 47
6.7
b. 7
22.5
d. 47
Answer:
6.7
Step-by-step explanation:
x² = 45
x = 6.7
is the answer
pleaseeeee helppppp!!!!! I have to turn this in...!!!
What is the difference between the highest percent of votes received by student in the lowest percent of votes received by a student? Round to the nearest whole number if needed.
A. 20%
B. 8%
C. 35%
D. 15%
Answer:
A) 20%
Step-by-step explanation:
The total votes are:
40 + 70 + 60 + 90 = 260
Rebecca has the highest percent of votes which is 90 votes. To find the %:
90/260 ≈ 34.62%
Amy has the lowest percent of votes which is 40 votes.
40/260 ≈ 15.38%
Finding the difference:
34.62 - 15.38
19.24
So, it's around 20%