Answer:
The volume is: [tex]V = \frac{\pi}{3}[/tex] cubic units
Step-by-step explanation:
Volume of a solid:
The volume of a solid, given by the function f(x), over an interval between a and b, is given by:
[tex]V = \pi \int_{a}^{b} (f(x))^2 dx[/tex]
y = x, y =1, x = 0
This means that the upper function is y = 1, and the lower function is y = x. So
[tex]f(x) = (1 - x)[/tex]
The lower limit of integration is x = 0.
The upper limit is y = x when y = 1, so x = 1.
Then
[tex]V = \pi \int_{a}^{b} (f(x))^2 dx[/tex]
[tex]V = \pi \int_{0}^{1} (1-x)^2 dx[/tex]
[tex]V = \pi \int_{0}^{1} (1-2x+x^2) dx[/tex]
[tex]V = \pi (x-x^2+\frac{x^3}{3})|_{0}^{1} dx[/tex]
[tex]V = \pi(1 - (1^2) + \frac{1^3}{3})[/tex]
[tex]V = \frac{\pi}{3}[/tex]
Tony uses the length of his hand to measure the size of his desk. He finds the top of his desk to be about "3 hands by 9 hands" in size. Jacqueline uses her hand and finds the same desk to measure about "4.25 hands by 12.75 hands" in size.
Tony's hand is how many times as long as Jacqueline's hand?___________ times as long
What is the measure of Tony's hand using Jacqueline's hand as the "unit ruler"?
Jacqueline's hand is how many times as long as Tony's hand?__________ times as long
What is the measure of Jacqueline's hand using Tony's hand as the "unit ruler"?
Answer:
the answer isto get a brain idiot
Step-by-step explanation:
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help pls jfsajkdfsfdjbfjsfsdfsdfa
Answer:800
Step-by-step explanation:
add it all up and get your answer
One number is 5 more than another. The difference between their squares is 75. What are the numbers?
Answer:
The numbers are:
-10 and -5Step-by-step explanation:
Let the first number = n
As one number is 5 more than another. So,
The another number = n + 5
Given that the difference between their squares is 75, so
n² - (n + 5)² = 75
n² - (n² + 10n + 25) = 75
n² - n² - 10n - 25 = 75
0 - 10n = 75 + 25
-10n = 100
divide boths sides by -10
-10n/-10 = 100/-10
n = -10
Thus,
The first number = n = -10
The other numebr = n + 5 = -10 + 5 = -5
Therefore, the numbers are:
-10 and -5what does the following quotient 2-√18/4+√12
Question 4
0/20 pts
PLEASE HELP!!!: The slope of a line is –3 and the
y-intercept is (0,4). What is the
equation of the line in slope-intercept
form?
9514 1404 393
Answer:
D. y = -3x +4
Step-by-step explanation:
The slope-intercept form is ...
y = mx + b
where m is the slope (-3) and b is the y-intercept (4). Putting these values into the form gives ...
y = -3x +4 . . . . . matches choice D
Drag and drop the correct terms to classify the triangles based on sides or angles.
The triangles are classified below.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
An equilateral triangle is a triangle where all three sides are equal.
The right triangle is a triangle where one angle is 90 degrees.
An isosceles triangle is a triangle where two sides are equal.
An obtuse triangle is a triangle where the angle is greater than 90 degrees
An acute triangle is a triangle where the angles are less than 90 degrees.
A scalene triangle is a triangle where all three sides are different.
Now,
Side 5 cm, 5 cm, 5 cm, and 5 cm is an equilateral triangles.
Since all the sides are the same.
Sides of 3 cm, 5 cm, and 5 cm is an isosceles triangle.
Since the two sides are the same.
Sides of 3 cm, 5 cm, and 7 cm is a scalene triangle.
Since all three sides are different.
Angles of 40°, 50°, and 90° is a right triangle.
Angles of 40°, 60°, and 80° is an acute triangle.
Angles of 40°, 40°, and 100° is an abtuse triangle.
Thus,
The triangles are classified above.
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Please help and I will give brainlest
Answer:
approx 72 feet
Step-by-step explanation:
the left and bottom sides of the quadrilateral are easy to see that their sum is 15 + 20 or 35
however, from (40, 30) to (45, 40) you can use the distance formula
d = √(y - y)² + (x - x)²
d = √10² + 5²
d = √125 which is approx 11.1
from (20, 40) to (45, 40) you get:
d = √5² + 25²
d = √650 which is approx 25.5
PLEASE HELP! i have by the end of the day to turn this in. PLEASE DONT GUESS
Answer:
x = 101°
Step-by-step explanation:
the bottom left angle inside the triangle is supplementary to the angle which measures 148°, so the m∡ is 32°
47 + 32 + x = 180
79 + x = 180
x = 101°
16. A car leaves a parking lot and travels directly north for
6 miles. It then turns and travels 8 miles east. How many
miles is the car from the parking lot?
Answer:
uhh... id.k
Step-by-step explanation:
i need more points sorry
PLZZZ ASAP I NEED HELP!!!!
describe the volume of a rectangular prism and a rectangular pyramid with the same dimensions related.
Answer:
the relationship between a prism and a pyramid with equal bases and heights is the volume of the prism is three times the volume of the pyramid.
Step-by-step explanation:
Which point is a solution to the equation 2x - y = 4?
Answer:
2x= 1 /2 y+ 2
Step-by-step explanation:
Solve for x.
2x−y=4
Add y to both sides.
2x−y+y=4+y
2x=y+4
Divide both sides by 2.
2x /2 = y+4 /2
x= 1/ 2 y+2
The required point that is the solution to the equation 2x - y = 4 is at (2, -4)
In order to get the solution to the equation, we will need to get its x and y-intercept.
x- intercept is the point where y is zero.
Given the equation 2x - y = 4
If y = 0
2x - 0 = 4
2x = 4
x = 4/2
x = 2
Get the y-intercept
y intercept is the point where x = 0
if x = 0
2(0) - y = 4
-y = 4
y = -4
Hence the y-intercept is -4
The required point that is the solution to the equation is at (2, -4)
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Factor 9x2 + 25 over the set of complex numbers.
Enter your answer in the box.
The set of complex numbers are x= +5/3i and x= -5/3i.
What is the complex number?A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.
The given expression is 9x²+25
9x²=-25
x²=-25/9
x=√(-25/9)
x=±5/3i
x= +5/3i or -5/3i
Therefore, the set of complex numbers are x= +5/3i and x= -5/3i.
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176min=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯hr⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯min
At 8:00 the temperature in Juneau was -8º F. Ten hours later the temperature was -25º F. By how many degrees Fahrenheit did the temperature change?
Answer:
17
Step-by-step explanation:
25-8=17 therefore the temp changed by 17
Hey! Please explain your answer!
Answer:
The inside of the pentagon and the angle outside the pentagon can add up the the angle of 180 degrees.
Step-by-step explanation:
Answer:
72°Step-by-step explanation:
Exterior angles of any polygon sum to 360°
We have:
5b = 360°b = 360°/5b = 72°Simplify the following expression by distributing. Then, combine any like terms.
2.5(4p−16)−8p+10 =
Answer:
2p-30
Step-by-step explanation:
10p-40-8p+10
=2p-30
What is the difference between the temperatures at 10 a.m. and 3:30 p.m.? Indicate whether the change is an increase or decrease.
Answer:
Change in temperature = - 3.3 F
The temperature has decreased
Step-by-step explanation:
The complete question is attached below .
As given in the attached image
Temperature at 10 A.M [tex]= 1.2[/tex] degree Fahrenheit
Temperature at 3:30 P.M. [tex]= -2.1[/tex] degree Fahrenheit
Change in temperature
= Temperature at 3:30 p.m - Temperature at 10 a.m
= [tex]- 2.1 - 1.2[/tex]
[tex]= - 3.3[/tex] F
The temperature has decreased
The zookeeper has 3 cups of frog food. She feeds the frogs
1/4 cup of food each day. How many days of frog food does
she have?
Answer:
12 days.
Step-by-step explanation:
The number of days of frog food the zookeeper has is A = 12 days
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the number of days of frog food the zookeeper has be A
Now , the value of A is
The number of cups of frog food she has = 3 cups
The number of cups of frog food she feed every day = ( 1/4 ) cups per day
Now , the equation is
A = number of cups of frog food she has / number of cups of frog food she feed every day
On simplifying the equation , we get
The number of days of frog food the zookeeper has A = 3 / ( 1/4 )
The number of days of frog food the zookeeper has A = 3 x 4
The number of days of frog food the zookeeper has A = 12 days
Hence , the number of days is 12 days
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i’ll mark brainliest
Answer:108xy^3
Step-by-step explanation:
A map is drawn to scale such that 1 inch equals 100 miles. To mark a distance of 500 miles, the length on the map must be _____ inches.
3x + 10 = 2(x + 6) + 4
Answer:
If your trying to find x im pretty sure the ans is 6
what is 4000×1mil I'm stuck on it
according to goo.gle:
FIND THE VALUE OF X! please help !
Answer:
yes, it's 20
Step-by-step explanation:
first you should find the area
47÷2 w
ork out the division
Answer:
23.5
Step-by-step explanation:
2) 47( 23.5
-46
_______
1
-1
______
0
Answer:23
Step-by-step explanation:47 dvided by 2
2 3
2 4 7
4
0 7
6
1
A store owner spends 7x + 13 dollars on two orders of boxes of light bulbs, including shipping.
Part A
If she spends 3x + 5 dollars on the first order of light bulbs, which of the following represents how much she spends on the second-order?
10x + 18
4x + 8
21x + 65
10x + 8
Part B
If the store owner spent a total of $90 on both orders, how much does a box of light bulbs cost in dollars? Enter the number in the box.
Answer:
[tex]B = 4x + 8[/tex]
A box = $11
Step-by-step explanation:
Given
[tex]Total = 7x + 13[/tex]
Represent the first order with A and the second with B.
So, we have:
[tex]A = 3x + 5[/tex]
Solving (a): Find B.
To find B, we make use of:
[tex]A + B = Total[/tex]
Make B the subject
[tex]B = Total - A[/tex]
Substitute values for Total and A
[tex]B = 7x + 13 - (3x + 5)[/tex]
Open bracket
[tex]B = 7x + 13 - 3x - 5[/tex]
Collect Like Terms
[tex]B = 7x - 3x + 13 - 5[/tex]
[tex]B = 4x + 8[/tex]
Solving (b): Cost of a box of light bulb
This means that:
[tex]Total = 90[/tex]
Substitute 7x + 13 for Total
[tex]7x + 13 = 90[/tex]
Collect Like Terms
[tex]7x = 90 - 13[/tex]
[tex]7x = 77[/tex]
Make x the subject
[tex]x = \frac{77}{7}[/tex]
[tex]x = 11[/tex]
Which representation shows a proportional relationship between X and Y
Answer:a
Step-by-step explanation: it follows a proportional rate since on the y it goes up by 5 and on the x it goes by 1
x and y are inversely proportional (that is, x and y vary inversely). When x=2/3 then y=6. The value of x, when y=0.5, is ___________.
Answer:
x = 8
Step-by-step explanation:
inversely proportional expression: y = k/x where 'k' is the constant of variation
input x and y values to find 'k'
y = k/x
6 = k ÷ 2/3
6 = k · 3/2
cross-multiply: 3k = 12; so, k = 4
now input 4 for k and 0.5 for y to find x:
0.5 = 4/x
0.5x = 4
x = 8
For a given recipe, 10 cups of flour are mixed with 15 cups of sugar. How many cups
of sugar should be used if 6 cups of flour are used?
plz help me i need help w this algebra
Answer:
I think it's the 3 one if in wrong I'm sorry
Joel has a bag with 128 pieces of candy in it. He gives his sister 25% of the candy. How many pieces of candy does Joel give his sister?
Answer:
[tex]Joel \: \: gave \: \: his \: \: sister \: \: 32 \: \: pieces\: \: of \: \: candy[/tex]
Step-by-step explanation:
[tex] \frac{x}{128} = \frac{25}{100} [/tex]
[tex](x)100 = (25)128[/tex]
[tex](x)100 = 3200[/tex]
[tex] \frac{(x)100}{100} = \frac{3200}{100} [/tex]
[tex]x = \frac{3200}{100} [/tex]
[tex]x = 32[/tex]
[tex]Joel \: \: gave \: \: his \: \: sister \: \: 32 \: \: pieces \: \: of \: \: candy[/tex]