The required volume of the given solid is (√16 - r²) -(-√16 - r²).
What is volume?The measurement of three-dimensional space is volume. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units.
Volume and the notion of length are connected.
Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface.
The cubic meter (m3), a derived unit, is the SI unit of volume.
So, the integrand often takes the form z upper z lower, where z stands for the solid's lower and upper borders.
We are treating the sphere as a hemisphere as of right now, with the XY-plane serving as its lower boundary. Consequently, you must multiply by 2.
The solid's volume is (√16 - r²) -(-√16 - r²).
Therefore, the required volume of the given solid is (√16 - r²) -(-√16 - r²).
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Correct question:
Use polar coordinates to find the volume of the given solid: Inside the sphere x^2 + y^2 + z^2 = 16 and outside the cylinder x^2 + y^2 = 4.
7th Grade math if anyone knows
Answer:
30° and 150°
Step-by-step explanation:
Supplementary angles sum to 180°
sum the parts of the ratio, 1 + 5 = 6 parts
Divide 180° by 6 to find the value of 1 part of the ratio
180° ÷ 6 = 30° ← value of 1 part of the ratio , then
5 parts = 5 × 30° = 150°
smaller angle = 30°
larger angle = 150°
Compare the function ƒ(x) = 4x + 2 to the function shown in the graph. Which statements are correct?
Responses
A The function ƒ(x) = 4x + 2 has a greater rate of change than the graphed function.The function ƒ(x) = 4x + 2 has a greater rate of change than the graphed function.
B The graphed function has a greater rate of change than the function ƒ(x) = 4x + 2.The graphed function has a greater rate of change than the function ƒ(x) = 4x + 2.
C The function ƒ(x) = 4x + 2 has a x-intercept with a greater value than the graphed function.The function ƒ(x) = 4x + 2 has a x-intercept with a greater value than the graphed function.
D The function ƒ(x) = 4x + 2 and the graphed function have the same slope.The function ƒ(x) = 4x + 2 and the graphed function have the same slope.
E The graphed function has a y-intercept with a greater value than the function ƒ(x) = 4x + 2.
The correct statement regarding the comparison of the linear functions f(x) and the graphed function is given as follows:
A. The function ƒ(x) = 4x + 2 has a greater rate of change than the graphed function.
What is a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the y-intercept, representing the initial value.The function f(x) is given as follows:
f(x) = 4x + 2.
The parameters are given as follows:
Rate of change of 4.Intercept of 2.For the function g(x), we have that:
The rate of change is of 2, as when x increases by 2, y increases by 4, hence m = 4/2 = 2.The intercept is of 4, as the function crosses the y-axis at y = 4.Hence the correct option is given by option a, as the function f(x) has a greater rate of change, of 4, compared to the graphed function, of 2.
Missing InformationThe graphed function is given by the image presented at the end of the answer.
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Thomas wants to buy a new baseball bat. The one he likes costs $130, but it is on sale for $104. What is the percent of the discount Tomas will get if he buys the bat
On solving the provided question we can say that the percentage discount will be equal to 20%
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
Tomas wants to buy a new baseball bat. T
he one he likes costs $130, but it is on sale for $104.
The discount percentage will be calculated as:-
( $130 - $104) = $26
( 26 / 130) x 100 = ( 2600 / 130 ) = 20%
the discount will be equal to 20%.
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Find the midpoints of the line segment
Fine the distance between each pair of the points
Answer: #18 is (1/2,0)
#19 (0,-1)
#20 5
#21 8√2 or 11.313708498985
Step-by-step explanation:
Which of the following system of inequalities represents the graph below?
A - 6x + 3y < 12 and 2y - x ≤ -2
B - 6x - 3y < 12 and 2y - x ≤ -2
C - 6x - 3y < 12 and 2y - x ≥ -2
D - 6x + 3y < 12 and 2y - x > -2
Answer:
c
Step-by-step explanation:
i think ...
when journalizing an accounts payable account what account is debited
a. accounts payable
b. it depends on the transaction
c. cash
d. accounts receivable
On Time
Late
You want to find the quickest route to school. You map out three routes.
Before school, you randomly select a route and record whether you are
late or on time. The table shows your findings.
a. Find Plyou are on time given you take Route A)
Route A
Route
B1
Route
CH II
b. Assuming you leave at the same time each morning, which route should you use? Explain.
Route B: You arrived on time 11 out of 14 times or about 79% of the time.
PLEASE HELP ME WITH THIS ILL BRAINLIEST YOU
Find the equation of a line in General form passes through the points (7,5) and (-9,5)
Answer:
Step-by-step explanation:
54×54
Find the surface area of the square pyramid.
A drawing of a square pyramid. The sides of the base are 5 centimeters and the height of the triangular faces is 5 centimeters.
Answer:
add the 5+5 =10
Step-by-step explanation:
5+5=10
hope that helps
Evaluate the expression if x = 6
3x + 5 =
Answer:
=
6
3
+
5
Step-by-step explanation:
the asnwer is x=63x+5
Ash and her 2 friends went to dinner. If the bill was $124.72, and they left an 18% tip, how much did each person pay
Each person will pay $49.056. The value must be divided by the entire value, and the resulting number must then be multiplied by 100 to get the percentage.
Which percentage is it?A percentage, often known as percent, is a division by 100. Percentage, which meaning "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.
Amount of bill = $124.72
and tip they left = 18% of $124.72
total amount is =$124.72 + $124.72*18%=$147.1696
so, each person pay= $147.1696/3=$49.056
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*LOOK AT PICTURE*
F) 200.96 feet
G) 602.88 feet
H) 301.44 feet
J) 614.43 feet
Answer:
F 200.96 feet is traveled by the car
Answer:
G) 602.88 feet
Step-by-step explanation:
First find the circumference of the circle:
C = 2πr
If we use 3.14 for pi, we get:
C = 2*3.14(32)
C = 200.96 feet
Because the car takes 3 turns around the circle, multiply the circumference by 3 to find the total distance the car traveled:
200.96*3 = 602.88 feet
Find the missing probability
P(A)=.3 P(B).4 P(A or B) = ? P(A and B) = .2
Answer:
0.5Step-by-step explanation:
P(A) = 0.3 P(B) = 0.4 P(A ∪ B) = 0.2P(A∩B) = xUse below formula and find the missing probability:
P(A∪B) = P(A) + P(B) - P(A∩B)0.2 = 0.3 + 0.4 - xx = 0.7 - 0.2x = 0.5please answe if you know answers
Answer:
i dont really know answers sorry just bored lol
Evaluating Linear Functions
The value of linear equations are f(x) = -17 and f(x) = -73 .
What is linear equation ?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).
Equation with two variables of degree one is referred to as a linear equation with two variables. Formal expression: ax+by+c=0, where a, b, c R & a, b 0.
A)
f(x) = -2x + 7 when x = -12f (x) = -2*12 + 7
= -24 + 7
= -17
f(x) = 5x - 13 when x = -14f(x) = 5*-14 - 13
= -60 -13
= -73
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A red die is tossed and then a green die
is tossed. What is the probability that
the red die shows an even number or
the green die shows an even number?
Make sure your answer is reduced.
The probability that the red die shows an even number or the green die shows an even number is 3/4
How to determine the probability?The sample space of a die is:
S = {1,2,3,4,5,6}
There are 3 even numbers in the above sample space
This means that the probability that a die shows an even face is:
P(Even) = 3/6 = 1/2
So, we have:
P(Even Red) = 1/2
P(Even Green) = 1/2
The required probability is then calculated as:
P = P(Even Red) + P(Odd Red) - (P(Even Red) * P(Odd Red))
This gives
P = 1/2 + 1/2 - 1/2 * 1/2
Evaluate
P = 3/4
Hence, the probability is 3/4
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HELP PLEASE!! 20PTS!!!! NO LINKS
Answer:
w = 9
m <4 = 157
m<2 = 23
Step-by-step explanation:
The measure of the arc of a straight line is 180⁰.
so angle 1 + angle 3 = 180⁰.
(3w - 4) + 157 = 180
3w = 27
w = 9
Answer:
w = 9
m 4 = 157
m<2 = 23
Step-by-step explanation:
3*9 - 4 = 23
23 + 157 = 180 so it is correct.
180 - 23 = 157
Have a nice day!
What are the factors of the expression 2x^2 5x 12?
[tex](x- (\frac{-5+71i }{4}))[/tex] and [tex](x- (\frac{-5-71i }{4}))[/tex] are factors of the quadratic expression.
2x^2 + 5x + 12
Consider given quadratic expression.
2x^2 + 5x + 12
Let f(x) = 2x^2 + 5x + 12
Assume f(x) = 0
2x^2 + 5x + 12 = 0
using the Quadratic Formula where
a = 2, b = 5, and c = 12
[tex]x = \frac{-b\pm \sqrt{b^2 - 4ac} }{2a} \\\\\\x = \frac{-5\pm \sqrt{5^2 - 4(2)(12)} }{2\times2} \\\\\\x = \frac{-5\pm \sqrt{25 - 96} }{4} \\\\\\x = \frac{-5\pm \sqrt{-71} }{4}[/tex]
The discriminant b^2 - 4ac < 0.
So, there are two complex roots.
[tex]x = \frac{-5\pm71i }{4}[/tex]
This means, [tex](x- (\frac{-5+71i }{4}))[/tex] and [tex](x- (\frac{-5-71i }{4}))[/tex] are factors.
2x^2 + 5x + 12
= [tex](x- (\frac{-5+71i }{4}))[/tex] × [tex](x- (\frac{-5-71i }{4}))[/tex]
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please help: find the value of x
Acellus Geometry Question in picture
Solve the proportion: Men 45 : ? Women 50 : 10
Answer:
The answer to the proportion is 45:25.
Step-by-step explanation:
To solve this proportion, we can use cross multiplication. That is, we can multiply the numerator of the first ratio (45) by the denominator of the second ratio (10) and the numerator of the second ratio (50) by the denominator of the first ratio (?). This will give us
45 x 10 = 500 and 50 x ? = 500.
If we divide both sides of the equation by 50, we get
? = 25.
Therefore, the answer to the proportion is 45:25.
5 3/8- 4 1/15 thank you if you can help I need a solution
Here is your Answer !!!
HOPE IT HELPS :)
Answer:
1 37/120
Step-by-step explanation:
Given f(x) = -x² - 2x + 12, find f(8)
Answer:
f(8) = -68
Step-by-step explanation:
f(x) = -x² - 2x + 12
f(8) = ?
We just need to put 8 in for the x and solve it
f(8) = -(8)^2 -2(8) + 12
f(8) = -64 -16 +12
f(8) = -80 + 12
f(8) = -68
A graphical device used for enumerating sample points in a multiple-step experiment is a a. bar chart b. pie chart c. histogram d. None of the other answers is correct.
None of the listed methods are used for enumerating sample points in a multiple-step experiment. So, option D is the correct answer.
Graphical methods are important mathematical tools that are very helpful when it comes to managing a vast amount of data. These also help when we need to visually represent data. These methods help quite a lot since they make it easier to keep track of data and understand it as well.
A bar chart and a histogram are similar tools that are used to represent data by plotting them as rectangular bars. These can be either vertical or horizontal. A pie chart is also a tool that uses a shape for data visualization. In its case, it represents data in the shape of a circle and all categories/data sets have their slices. So, this means that these three are not methods that can be used for enumerating sample points in a multiple-step experiment. Hence, option D is the correct option.
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pllzzzzzzzzzzzzzzzzz help
that would be 33 square feet!!!
heyy! i’ll give brainliest please help
Answer:
democratic leader i think im not sure tho
Answer:
an absolute dictator
Step-by-step explanation:
If the sum of two consecutive numbers is 23, find them.
The first number is 11 and second number is 12.We can find by solving two consective numbers.
What are Consecutive Numbers in Math?Consecutive numbers are numbers that follow each other in order from the smallest number to the largest number. The difference between consecutive numbers is always fixed and it follows a pattern. For example 1, 2, 3 are the first three consecutive natural numbers.
What is the sum of consecutive?An odd number of consecutive numbers has a whole number as an average. This average is always the middle number. So that means that the sum of the numbers will be Sum = average \times number of consecutive numbers.
Now we find
Let x be a first number and x+1 be a second number.So
x+x+1=23
2x+1=23
2x =23-1
2x =22
x = 11
x+1= 11+1=12
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can someone help me with these questions
A hot-air balloori rises 500 feet and then sinks 500 feet.
What was the net change in the elevation of the balloon?
Answer:
0
Step-by-step explanation:
Have a great day!
Explanation is[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]ly/3gVQKw3