Final answer:
The region e refers to the inside of a cylinder defined by x² + y² = 16 and between the planes z = -4 and z = 1. It represents a three-dimensional space bounded both radially, by the cylinder, and vertically, by the planes.
Explanation:
The region described in the question is a cylindrical volume in three-dimensional space. To visualize this region, we remember that the cylinder is defined by the equation x2 + y2 = 16, which is the set of points in the xy-plane that are at a distance of 4 from the origin (since the radius is √16 = 4). This cylinder extends indefinitely in the positive and negative z-directions.
The planes z = -4 and z = 1 act as boundaries in the z-direction, trimming the cylinder down so that we're only considering the portion of the cylinder between these two planes. Thus the region e of interest is the set of points inside the cylinder that lie at a height between z = -4 and z = 1.
This type of region is common in problems involving volume calculations, especially when using integral calculus to determine the volume of the shape or when analyzing physical phenomena like fluid flow or electric fields within prescribed bounds.
This is a square pyramid. What is the length of the base? h=3 v=36
volume of square pyramid = S^2*h/3
volume = 36
h = 3
36 = S^2 *3/3
36 = S^2
S = sqrt(36)
S = 6
length of base = 6
The perimeter of a triangle is 26 centimeters. Side *a* of the triangle is 3 centimeters longer than side *b.* Side *c* is 1 centimeter shorter than twice side *b.* find the length of each side. (Show work)
The least squares method is a mathematical procedure used to identify the linear equation that best fits a set of ordered pairs.
a. True
b. False
A health food producer has 250 samples of a new snack to distribute in the mall the producer has to keep at least 50 samples for display in the health food store for the product launch how long will the samples last if consumers are taking the samples at a rate of 25 every hour
Final answer:
The 200 samples available for distribution will last for 8 hours at a consumption rate of 25 samples per hour.
Explanation:
The health food producer has 200 samples to distribute (250 total minus 50 for display), and if consumers take samples at a rate of 25 every hour, you would divide the 200 samples by the rate of 25 samples per hour to calculate how long the samples will last.
200 samples ÷ 25 samples/hour = 8 hours.
Therefore, the samples available for distribution at the mall will last for 8 hours before they run out, assuming the rate of consumption is constant at 25 samples per hour.
did 6600 bee come first or did 2500 bce
write the numerical expression in words then solve (98-78)×11
What is -3 -4 in integers
Last week, Marcus had a balance of - $10 in his savings account. This week, the balance is $10. Which equation would show the change,c, in his savings account...?
A. -10 + c =10
B. c + 10 =10
C. c + -10 =-10
D. -10 - c =-10
the sum of 5 consecutive integers is 110. what is the fourth number in the sequence
Answer:
23
Step-by-step explanation:
Enter the values to complete the statement. To determine whether (−1,4) (−1,4) is a solution to the equation 3x+8y=29 3x+8y=29 , substitute for x and and for y
choose the ratio that you would use to convert 5.5 pounds to ounces
Answer:
A. 16 ounces/1 pound
Step-by-step explanation:
Remember that: 1 pound (lb) is equal to 16 Ounces (oz).
Then you have to find a ratio to convert 5.5 pounds to ounces.
If you write: 5.5 pounds, you have to find a ratio that eliminates pounds in order to get ounces:
5.5 pounds*16 ounces/1 pound
In this way pounds in the numerator is eliminated with pounds from the denominator and the result you get is in units of ounces.
5.5 pounds*16 ounces/1 pound=88 ounces
Carlene is selling T-shirts for a fundraiser. The T-shirts cost $20.50 each. To date, she has raised $700. Her goal is to raise more than $8,900. How many more T-shirts, x, does Carlene need to sell to reach her goal?
Carlene needs to sell 400 more T-shirts at $20.50 each to reach her goal of raising more than $8,900, after already raising $700.
The question asks us to determine how many more T-shirts, designated as x, Carlene needs to sell to reach her fundraising goal of more than $8,900, given that each T-shirt costs $20.50 and she has already raised $700. To solve for x, we can set up the following equation:
Total goal - Amount already raised = Amount still needed
$8,900 - $700 = $8,200
Next, we divide the amount still needed by the price per T-shirt to find out how many T-shirts need to be sold:
x = Amount still needed / Price per T-shirt
x = $8,200 / $20.50
x = 400
Carlene needs to sell 400 more T-shirts to reach her goal.
factor a number, variable, or expression out of the trinomal shown below
Madison is buying a $3,000 car at 9% simple interest for 2 years. What will be the total amount she pays for the car?
Answer:
3540.00
Step-by-step explanation:
Let x be the number of successes throughout n independent repetitions of a random experiment having probability of success p=1/4. determine the smallest value of n so that p(1<=x)>=0.7
To answer problems like this you have to use binomial:
P (x > 1) = 1 – p (0 < x < 1) > .7
So:
1 – p (0) – p (1) > .7
1 – (3/ 4) ^n – (3/ 4) ^n (n – 1 ) (1/ 4) > .7
Therefore n > 5.185, and the smallest value of n so that we can satisfy the given condition is 6 (rounded up)
point slope for (3,21) and (6,12)
Mary is 19 years old. she drinks the recommended intake of 2.2 liters of water and other beverages a day. about how many cups is this equivalent to?
To convert 2.2 liters to cups, multiply by 4.22675. Rounded, it's approximately 9 cups. So, option C) [tex]$9$[/tex] cups is correct.
To find out how many cups 2.2 liters is equivalent to, we'll first convert liters to cups.
1 liter is approximately equal to 4.22675 cups.
So, to find out how many cups are equivalent to 2.2 liters:
[tex]\[ \text{Number of cups} = 2.2 \, \text{liters} \times 4.22675 \, \text{cups/liter} \][/tex]
[tex]\[ \text{Number of cups} \approx 9.29885 \, \text{cups} \][/tex]
Rounded to the nearest whole number, 2.2 liters of water is approximately equivalent to 9 cups. Therefore, the correct answer is:
C) [tex]$9$[/tex] cups
The correct question is:
Mary is 19 years old. She drinks the recommended intake of 2.2 liters of water and other beverages a day. About how many cups is this equivalent to?
A) 3 cups
B) 6 cups
C) 9 cups
D) 12 cups
Y=(3/5)x -3 and 5y =3x-10 these lines are and the second question?
The given lines Y=(3/5)x -3 and 5y =3x-10 are examples of linear equations which, when solved, are found to be parallel due to their identical slope.
Explanation:The lines given in the question are in the format y = mx + b, where 'm' is the slope and 'b' is the y-intercept. The equations are Y=(3/5)x -3 and 5y =3x-10. By comparing the coefficients, the slope of the first line is 3/5 and the y-intercept is -3. For the second equation, we first need to convert it into the 'y = mx + b' form. Dividing every term by 5 gives us y = (3/5)x - 2. Therefore, the slope of the second line is also 3/5 and the y-intercept is -2. Since both lines have the same slope, they are parallel lines.
Learn more about Parallel Lines here:https://brainly.com/question/29762825
#SPJ3
Derrick’s parents are finalizing a budget for his college expenses. His first year of college will cost $8,000, and his expenses will increase by 12% each year. What is the amount they should budget for Derrick’s four-year college education, to the nearest dollar?
$38,235 is needed.
$42,823 is needed.
$32,072 is needed.
$39,200 is needed.
1st year = 8000
2nd year = 8000 * 1.12 = 8960
3rd year = 8960*1.12 = 10035.20
4th year = 10035.20 * 1.12 = 11239.42
8000 + 8960 + 10035.20 + 11239.42 = 38234.62 round to $38,235
Answer:
$38,235 is needed.
Step-by-step explanation:
Given,
The cost of first year of college is $ 8000 and it is increasing by 12 % each year,
So, His first year's cost = $ 8000,
Second year's cost = 12 % more than the first year's cost = 112 % of first year's cost = 112 % of 8000 = 1.12 × 8000 = $ 8960,
Third year's cost = 112 % of second year's cost = 112 % of 8960 = 1.12 × 8960 = $ 10035.2
Fourth year's cost = 112% of third year's cost = 1.12 × 10035.2 = $ 11239.424
Hence, Total cost for four-year college education = 8000 + 8960 + 10035.2 + 11239.424 = $ 38234.624 ≈ $ 38235
⇒ $38,235 is needed.
On a survey mission,a pilot flew out to a parcel of land and back in 7h. The rate flying out was 120mph. The rate flying back was 90mph.how far away was the parcel of
To find the distance, multiply the speed by the time for each leg of the trip and add them together to get the total distance of 735 miles.
Explanation:To find the distance to the parcel of land, we can use the formula Distance = Speed x Time. Since the pilot flew out and back, we can calculate the distance for each leg of the trip and then add them together.
Distance going out = Speed x Time = 120 mph x (7/2) hours = 420 miles
Distance coming back = Speed x Time = 90 mph x (7/2) hours = 315 miles
Total distance = Distance going out + Distance coming back = 420 miles + 315 miles = 735 miles
When Milo got promoted at work he received a 20% pay raise. He now earns $72,000 a year. What was his annual salary before the raise?
Which ordered pair comes from the table?
X Y
2 1
3 4
4 4
5 2
A. (1,2)
B. (4,3)
C. (2,1)
D. (2,5)
Answer:
Option C is correct
(2, 1) ordered pair comes from the table
Step-by-step explanation:
Ordered pair states that an ordered pair contains the coordinate of points in the coordinate plane in the form of (x, y)
Given the table:
X Y
2 1
3 4
4 4
5 2
Ordered pairs for this table are:
From the definition, we have;
(2, 1), (3, 4), (4, 4) and (5, 2)
Therefore, the only ordered pairs comes from the table is, (2, 1)
Can you help me please.........................
area of shaded figure = l x w = 24 *18 = 432
area of white square = 12*12 = 144
area of shaded part = 432-144 = 288 m^2
Answer is A
Which choice shows the numbers correctly ordered?
A) 2 < 1.1 < 1.5 < π
B) 1.1 < 2 < 1.5 < π
C) 1.1 < 1.5 < 2 < π
D) 2 < π < 1.1 < 1.5
Round each number to the nearest tenth.
What is the best estimate for the difference of 376.64 – 109.38?
A.
267.2
B.
267.3
C.
268
D.
270
Give one example of when would use the friendly numbers strategy to substract. Explain why
Chen is checking a division problem by doing the following:
152
× 4
______
+ 2
______
What problem is Chen checking?
What's the answer to find y when x=9 if y varies directly as the square of x ,and y =100 when x= 5
Solve for w . =−40−w6 Simplify your answer as much as possible.
What function is represented below? graph begins in the first quadrant and decreases quickly while crossing the ordered pair 2, 1. Then the graph begins to decrease slowly as it approaches the x axis. f(x) = one fourth to the power of x plus 2 f(x) = one fourth to the power of x + 2 f(x) = one fourth to the power of x minus 2 f(x) = one fourth to the power of x − 2
Answer:
The represented function is :
[tex]f(x)=(\frac{1}{4})^{x-2}[/tex]
Step-by-step explanation:
[tex]1.\thinspace f(x)=(\frac{1}{4})^x +2[/tex]
And the equation must pass through (2,1) as given,
But, f(2) = 2.0625 ≠ 1 so this is not the required function.
[tex]2.\thinspace f(x)=(\frac{1}{4})^{x+2}[/tex]
And the equation must pass through (2,1) as given,
But, f(2) = 0.0039 ≠ 1 so this is not the required function.
[tex]3.\thinspace f(x)=(\frac{1}{4})^x -2[/tex]
And the equation must pass through (2,1) as given,
But, f(2) = -1.94 ≠ 1 so this is not the required function.
[tex]4.\thinspace f(x)=(\frac{1}{4})^{x-2}[/tex]
And the equation must pass through (2,1) as given,
We see, f(2) = 1 so this is the required function and the corresponding graph of the function is attached below :
Hence, The correct option is (4)