The line in the positive direction extends from - 3 to 4 upwards. The length is 7
The line in the negative direction extends from 0 to - 3 downwards.
Since we are finding the sum, we would add. This means that we are adding a negative 3 to a positive 7. it would be
7 + (- 3)
= 7 - 3
= 4
Discuss whether it is possible that any devices are produced if the production cost is R0,00
It is safe to say that it is nearly impossible for devices to be produced at zero production costs.
How did we arrive at this assertion?It is highly unlikely that any devices will be produced if the production cost is R0,00 (assuming R refers to South African Rand). There are various factors involved in the production of devices, including the cost of materials and labor, research and development, marketing, and distribution costs.
Even if we disregard the cost of materials and labor, there are still other production expenses that cannot be escaped, like facility costs, machinery, and intellectual property rights. Furthermore, marketing and distribution costs add considerable expenses.
Therefore, it is safe to say that it is nearly impossible for devices to be produced at zero production costs. Even if a device could somehow be developed without incurring any initial costs, other costs incurred during the device's production, such as power costs, facility rent, and salaries, would have to be covered. Therefore the reality is that there is always a cost involved in producing any device, and that cost must be factored in for any real-world production.
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set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 10x − x2, y = x; about x = 12
The integral for the volume of the solid is:
V = ∫[0,8] 2π(12 - x)(9x - x²) dx.
The method of cylindrical shells can be used to compute an integral for the volume of a solid obtained by rotating the region bounded by the curves y = 10x - x², y = x about the line x = 12.
The rotation axis is x = 12, which is a vertical line that passes through the point (12, 0).
The next step is to determine the integration's limits. At x = 0 and x = 8, the curves y = 10x - x² and y = x intersect. We'll integrate with respect to x, so the integration range will be from x = 0 to x = 8.
We can now apply the formula for the volume of a cylindrical shell:
V = 2πrhΔx
where r denotes the distance from a point on the curve to the axis of rotation, h denotes the height of the shell, and x denotes the thickness of the shell.
We have the following solutions to our problem:
r = 12 - x (the distance between x = 12 and a point on the curve)
h = y2 - y1 = (10x - x²) - x = 9x - x²
Δx = dx
As a result, the integral for the solid's volume is:
dx = V = [0,8] 2(12 - x)(9x - x²).
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Which option best shows X < -18
Answer:
A is the best shows your answer
Answer:
B
Step-by-step explanation:
C and D are > and ≥ -18
A shows x < -18, which isn't what the question asks for
Help bell math math math
Answer:
54
Step-by-step explanation:
C=πd
π=3
d=18
C=3×18
Therefore C=54
Answer:
c=54
Step-by-step explanation:
i need the answer help as soon as possible
Answer:
Step-by-step explanation:
When finding the margin of error for the mean of a normally distributed population from a sample, what is the critical probability, assuming a confidence level of 58%?
at a gas station, suppose that 54% of the customers purchase premium grade gas. assume that these customers decide independently. find the probability that at least one of the next three customers purchases premium gas.
At a gas station, suppose that 54% of the customers purchase premium grade gas. assume that these customers decide independently. The probability that none of the next three customers purchase premium gas is 0.834
The likelihood that at least one of the following three customers will purchase premium gas is equal to the likelihood that none of the following three customers will do so. = 1 - (1-P(A))³ = 0.834
The likelihood that a customer would buy premium quality is 45%.
P(A) = 0.45 in this case.
P(B) = 0.55 is the likelihood that the consumer would buy a different grade.
Consequently, the likelihood that at least one of the following three clients will buy premium gas is
P(k=0) = (1 - P)ⁿ,
where the likelihood that at least one client will buy premium gas is complemented by the likelihood that the subsequent three customers will buy a different gas brand.
(1 - P(A))×(1 - P(A))×(1 - P(A)) = P(B)×P(B)×P(B) = 0.55³
and the complement is 1 - 0.55³ = 0.834
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explain how bacteria are both helpful and harmful to out bodies
Answer:
Step-by-step explanation:
Bacteria is helpful because it helps protect the cells in your intestines. Its, harmful because itI can cause a disease in your lungs.
Hope this helps!
Please turn this word problem into an equation.... Braden and Michael are running laps. Braden runs 3 less than twice as many as Michael. Together they run 12 laps.
Answer: x+ 2x -3 = 12
Step-by-step explanation:
x represents Michael's laps. 2x -3 represents Braden's laps. Added together for a total of 12
One step further would be to combine the x terms, so the equation becomes 3x - 3 = 12
A hammock that hangs between two trees makes a parabola shape that has the equation y = 0.4(x- 3)² +1, where x is the distance from one end and y is the height above the ground, measured in meters.
A. What is the lowest point of the hammock?
B. If the hammock is attached to both trees at the same height, how far away are the trees from one another?
Answer:
A. The lowest point of the hammock is at the point 1 meters above the ground and 3 meters from one end of the hammock
B. The two trees are 6 meters away from one another
Step-by-step explanation:
The given equation of the parabola representing the hammock is as follows;
y = 0.4·(x - 3)² + 1
The general equation of a parabola is a·(x - h)² + k;
Where the coordinates of the vertex point of the parabola, which is the lowest (or highest, furthest) point on the vertex is (h, k) = (3, 1)
Therefore, we have;
A, The coordinates of the lowest point on the hammock is (3, 1)
Therefore, the lowest point of the hammock is at 1 meters above the ground and 3 meters from one end of the hammock
B. Given that the distance from one end is "x", we have;
The height at which the hammock is attached is given as the point where x = 0 as follows;
Given that the vertex of the parabola represents the axis of symmetry of the parabola, we have that the horizontal distance from one end of the hammock to the vertex point of the parabola that the hammock forms is (3 - 0) meters = 3 meters
Therefore, by the definition of symmetry, the distance from the vertex point to the other end of the parabola that the hammock forms is also 3 meters
From which we have, the distance the two trees are from one another is 3 meters + 3 meters = 6 meters.
Help please. I dont know how to do this :((
Answer:
You need the distance of all four sides so that is:
2 * (5y +1) + 2 * (2y -3) which equals
10y + 2 + 4y -6 and that equals
14y -4
Step-by-step explanation:
Which transformation causes the image to be larger or smaller than the pre-image?
A dilation is a type of transformation causes the image to be larger or smaller than the pre-image.
What is dilation?A dilation is a type of transformation that changes the size of a figure without changing its shape. Dilations can make a figure larger or smaller.
In a dilation, the original figure is called the preimage. The dilated figure is called the image. Figures are dilated from a fixed point, called the center of dilation.Dilations also scale all sides of a figure by the same factor. As a result, dilations preserve angle measures and the ratio between corresponding parts.When dilating a figure, the different parts of the figure are multiplied by the scale factor.
In a dilation, the scale factor refers to the ratio between the corresponding sides of the preimage and the image. Therefore, the scale factor, k, can be calculated by dividing the length of one part in the image with the corresponding part in the preimage. The length of the preimage part should always be in the denominator as it belongs to the original figure.
A dilation is a type of transformation causes the image to be larger or smaller than the pre-image.
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Use integration to find the position function for the given velocity function and initial condition. (Rubric 10 marks) \[ v(t)=3 t^{3}+30 t^{2}+5 ; s(0)=3 \]
Answer:
\(\displaystyle s(t)=\frac{3}{4}t^3+10t^3+5t+3\)
Step-by-step explanation:
Integrate v(t) with respect to time
\(\displaystyle \int(3t^3+30t^2+5)\,dt\\\\=\frac{3}{4}t^4+10t^3+5t+C\)
Plug-in initial condition to get C
\(\displaystyle s(0)=\frac{3}{4}(0)^3+10(0)^3+5(0)+C\\\\3=C\)
Thus, the position function is \(\displaystyle s(t)=\frac{3}{4}t^3+10t^3+5t+3\) given the velocity function and initial condition.
which of the following statements is true n=m n=4m
Answer:
This statement is true.
Answer:
insufficient info
Step-by-step explanation:
as I see it neither there isn't enough info to find a answer
Exercise 14A Water Table Contours:
Locate the point (section 20 south half of the map (encircled) and determine the depth that a well would need to be drilled to access the water table (given the water table contours (see Exercise 14A (Questions 1 and 2)).
In section 20 of the south half of the map, find the contour line that intersects the encircled area. The distance between that contour line and the ground surface represents the required well depth to access the water table.
To locate the point in question, refer to section 20 on the south half of the map where it is encircled. Next, examine the water table contours provided in Exercise 14A. Identify the contour line that intersects with the encircled area. This contour line represents the depth of the water table at that point.
To determine the depth a well would need to be drilled to access the water table, measure the vertical distance from the ground surface to the identified contour line. This measurement corresponds to the required depth for drilling the well.
Therefore, In section 20 of the south half of the map, find the contour line that intersects the encircled area. The distance between that contour line and the ground surface represents the required well depth to access the water table.
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Solve 6 - 5x = 7 + 3x
Answer:
hol up
x=-1/8 negative one over eight
Step-by-step explanation:
find the value of the polynomial 5 x minus 4x square i) x=0
Answer:
If x = 0, then the value of the polynomial = 0
Step-by-step explanation:
Given that ;
F(x ) = 5x - 4x^2
Substituting 0 for x we have;
F(0) = 5(0) -4(0)^2 = 0 + 0 = p
8x + y = -16
-3x + y = -5
solve the system of equations by elimination
ANS
9 quarters and 5 dimes
whats the radius for 3(x-1)^2+3(y+3)=243
Please help need by tomorrow it would be very very very appreciated
cookie monster makes the perfect cookies. he uses 2 cups of chocolate chips for every 3 dozen cookies. if he makes 54 cookies, how many cups of chocolate chips does he need?
Answer:
i think the answer is 18 cups of chocolate
you'll have to divide 54 cookies by 3 dozen cookies then you get the answer
PLEASE HELP I HAVE 30 POINTS Part A: If (6^2)^x = 1, what is the value of x? Explain your answer. (5 points) Part B: If (6^0)^x = 1, what are the possible values of x? Explain your answer. (5 points)
Answer:
Part A: 0
Part B: All real numbers
Step-by-step explanation:
Part A:
We have:
\((6^2)^x=1\)
First, let's evaluate the square:
\(36^x=1\)
Now, what to the xth power will equal 1?
Remember the fact that anything (except for 0) to the zeroth power is 1.
Therefore, our x is 0:
\(36^0=1\)
Part B:
We have:
\((6^0)^x=1\)
Like mentioned previously, anything to the zeroth power is 1. Thus:
\(1^x=1\)
Now, 1 is a special base because 1 to any (real) power is still going to be 1. For example:
\(1^0=1,1^1=1,1^{999},\text{ and } 1^{\pi}=1\)
Therefore, our values of x is all real numbers.
And we're done!
what is 5/6 plus 3/4
Answer:
it will be a mixed number
1 7/12
Find the measure of one interior angle of a regular polygon with 13 sides
Answer:
152.3 approximately
Step-by-step explanation:
A polygon with 13 sides (and angles too) would be called tridecagon
Now, the sum of interior angles in a polygon is calculated by dividing the number of angles minus 2 by 180 [(n-2)*180]
(13-2)/180 = 1.980 and to find what is the measure of one angle, we divide the sum by the number of angles the polygon has
1.980/13 = 152.3 approximately
52.38
B
Which trigonometric ratios are correct for triangle
ABC? Select three options.
30
sin(C) =
3
✓
18
60
cos(B) = ?
С
tan(C) = V3
sin(B) = ?
D tan(B) = 2/3
Next
Subm
Mark this and retum
Answer:
\( \sin(c) \: = \frac{ \sqrt{3} }{2} \)
\( \tan(c) = \sqrt{3} \)
\( \sin(b) = \frac{1}{2} \)
The ratios that are correct for the triangle are as follows:
sin B = 1 / 2sin C = √3 / 2tan C = √3Trigonometric ratios
The simplest trigonometric ratios are as follows:
sin ∅ = opposite / hypotenusecos ∅ = adjacent / hypotenusetan ∅ = opposite / adjacentAB = √18² - 9²
AB = √324 - 81
AB= √243
AB = 9√3
Therefore, the trigonometric ratio that are correct for the triangle are as follows;
sin B = 9 / 18 = 1 / 2sin C = 9√3 / 18 = √3 / 2 tan C = 9√3 / 9 = √3learn more on trigonometric ratios here: https://brainly.com/question/6459892?referrer=searchResults
Please help. What is the surface area. This is urgent!
Answer:1733.28
square inches I think
Answer:
1733.28 in^2.
Step-by-step explanation:
The radius r = 1/2 the diameter = 1/2 *12 = 6 inches.
SA = 2*3.14*6^2 + 2*3.14*6*40
= 1733.28 in^2.
Find (a) the perimeter and (b) the area of the figure. Use 3.14 or 22/7 for Pi. Round your answer to the nearest hundredth, if
necessary.
a. Total perimeter = 89.12 ft
b. Total area = 174. 24 ft²
How to determine the valuesTo determine the perimeter, we have;
Perimeter of triangle = a + b + c = 8 + 6 + 10 = 24ft
Circumference of a circle is expressed a;s
= 2πr
Circumference = 2× 3.14 × 4
Multiply the values
Circumference = 25. 12 ft
Perimeter of a square = 4a)
Perimeter = 40 ft
Total perimeter = 40 + 25.12 + 24 = 89.12 ft
For area;
Triangle = 1/2bh = 1/2 (48) =24 ft²
Square = a² = 100ft²
Circle = 3.14 × 4² = 50.24ft²
Total area = 174. 24 ft²
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Which of these represents an individual form of life such as an animal, plant, or single-celled life form?
Organ
Organism
Organ system
Tissue
Answer:
organism
Step-by-step explanation:
all the other anwsers are what is inside a organism
Use the Euclidean algorithm to find ged(707, 413), and find integers s, t such that 707s + 413t = gcd (707,413). (b) Are there integers x, y such that 707x +413y = 9? If there are, give an example. If there are no such r, y, then prove it.
a) Using the Euclidean algorithm, we can find gcd (707,413) as follows:707 = 1 · 413 + 294413 = 1 · 294 + 119294 = 2 · 119 + 562119 = 2 · 56 + 71356 = 4 · 71 + 12 71 = 5 · 12 + 11 12 = 1 · 11 + 1
Thus, gcd (707,413) = 1.
We can find the coefficients s and t that solve the equation 707s + 413t
= 1 as follows:1 = 12 - 11 = 12 - (71 - 5 · 12) = 6 · 12 - 71 = 6 · (119 - 2 · 56) - 71
= - 12 · 56 + 6 · 119 - 71
= - 12 · 56 + 6 · (294 - 2 · 119) - 71 = 18 · 119 - 12 · 294 - 71
= 18 · 119 - 12 · (413 - 294) - 71 = 30 · 119 - 12 · 413 - 71
= 30 · (707 - 1 · 413) - 12 · 413 - 71 = 30 · 707 - 42 · 413 - 71
Thus, s = 30, t = -42. So we have found that 707(30) + 413(−42) = 1.
b) Since 707s + 413t = 1 and 9 does not divide 1, the equation 707x + 413y = 9 has no integer solutions. Therefore, we can conclude that there are no such integers x and y.
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Solve for x
5-3x - 1 = 25
Answer: Solve for x
x = -7
Answer:
= − 7
Step-by-step explanation:
5 - 3x -1 = 25
4 - 3x = 25
-3x + 4 = 25
-3x + 4 - 4 = 25-4
3. A soccer team spent $216 on 15 new soccer balls. Each ball cost the same.
Part A
Estimate the cost of each soccer ball. Write an equation and solve.
Part B
Find the exact cost of each soccer ball. Compare your answer to your estimate to check for reasonableness.
Answer:
The equation is 216/20= 10.8 so about 11 dollars each
Step-by-step explanation:
Part B 216/ 15= 14.40 14.4 and 10.8 both round down so this awnser is reasonable