To find the image of the point (-5, 2) under the translation ( t(3, -4) ), you add the translation vector to the original point. This means you calculate: [ (-5 + 3, 2 - 4) = (-2, -2). ] Thus, the image of the point (-5, 2) under the translation ( t(3, -4) ) is (-2, -2).
A magnification of 90X means that an object appears 90 times larger than its actual size. This level of magnification is commonly used in microscopy, allowing for detailed observation of small structures. For example, if a cell measures 1 micrometer, it would appear 90 micrometers in size under a 90X magnification.
The magnifying power of the eyepiece can be calculated by multiplying the magnification of the eyepiece by the magnification of the objective lens. In this case, if the eyepiece magnifies 10 times and the total magnification is 100 times, the magnifying power of the eyepiece alone is 10 times. Thus, the eyepiece provides a magnification of 10x, while the objective lens contributes the remaining magnification.
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by focus and magnification
To determine the magnification of an object viewed under a microscope, you can calculate it by multiplying the magnification of the eyepiece by the magnification of the objective lens being used. This will give you the total magnification.
Magnifying an image allows for easier investigation and viewing capabilities. Images which are under a 10X objective magnification and 6 times larger than an image which is under a 4X magnification.
The total magnification of a compound microscope is calculated by multiplying the magnification of the ocular lens (usually 10x) with the magnification of the objective lens. If the lowest power objective has a magnification of 4x, then the total magnification would be 40x (10x * 4x).
Resolution refers to the ability to differentiate between two points in an image, while magnification refers to the size of an object in an image compared to its actual size. Increasing magnification makes an object appear larger but does not necessarily improve resolution, while increasing resolution improves image clarity without changing the size of the object. Both resolution and magnification are important factors in determining the quality of an image produced by a microscope.
An image can appear blurred under a microscope due to improper focusing, contamination on the microscope lens or slide, incorrect magnification setting, or presence of air bubbles in the viewing field. Proper cleaning and adjustment of the microscope components can help improve image clarity.
Under a dissecting microscope, images appear three-dimensional and have a lower magnification compared to a compound microscope. The depth of field is greater, allowing for easier manipulation of specimens. Additionally, the lighting is usually brighter and can be adjusted to illuminate the specimen from different angles.
A transparent microscope slide allows light to pass through the specimen, enabling clear visibility and magnification. This transparency is essential for producing a detailed image that can be observed under the microscope.
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When viewed under a microscope, the image appears magnified compared to how it looks on the stage. The microscope's lenses enlarge the specimen and allow for detailed observation of its structure. This magnification enhances the visibility of fine details that may not be visible to the naked eye.
The magnification needed to see cells clearly under a microscope is typically around 400x to 1000x.
When an image is viewed under a microscope, it is magnified to reveal finer details that are not visible to the naked eye. The microscope allows the viewer to see the intricate structures and textures of the specimen in greater clarity and resolution. This enhanced magnification enables scientists and researchers to study the specimen at a microscopic level, offering insights that would otherwise be impossible to observe.