A microscope has a setting that magnifies an object so that it appears 100 times as large when viewed through the eyepiece. If a tiny insect is 0.014 cm long, how long will the insect appear in cm through the microscope? The insect will appear cm long.

Note that:

An origin-centered circle in 2D has a VC dimension of 3. This means that the circle can shatter any set of 3 points, but not any set of 4 points. In other words, there exists a set of 3 points that can be shattered by the circle, but for any set of 4 points, there exists at least one labeling of the points that the circle cannot produce.

An origin-centered sphere in 3D has a VC dimension of 4. This means that the sphere can shatter any set of 4 points, but not any set of 5 points. In other words, there exists a set of 4 points that can be shattered by the sphere, but for any set of 5 points, there exists at least one labeling of the points that the sphere cannot produce.

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Answer:

24 and 17

Step-by-step explanation:

Let the Greater number be x

3x = 72

x = 24

24-7 = other number (17)

Hence the numbers are 17 and 24

Hope this helps!

Answer:     17 and 24

Step-by-step explanation:

72 divided by 3 equals 24. which would also mean that 24 times 3 is 72. after you have the greater number (which is 24), all you have to do is subtract 7 which is 17.

Weight of a large box = 15.5 kg and weight of a small box is = 6.5 kg

Here two types of boxes; large and small.

What is linear equation in two variables?

An equation is said to be linear equation in two variables if it can be written in the form of ax + by + c = 0

where, a, b, c are real numbers.

Let weight of a large box = x kg

And weight of a small box is = y kg

Formation of linear equations according to questions

5x + 3y = 97 …(i)

2x + 12y = 109 …(ii)

Now solving (i) and (ii) by 2(i) – 5(ii):

\(10x + 6y = 194 \\ 10x + 60y = 545 \\ -54y = -351\)

\(y=6.5\)

⇒y = 6.5 kg

Substituting the value of y into equation (i) we get

5x + 3(6.5) = 97

X = 15.5 kg

Thus, weight of a large box = 15.5 kg and weight of a small box is = 6.5 kg.

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Answer:

9

Step-by-step explanation:

221/13=17

So $17 for one hour

153/17=9

I dunno if this is right :)

Answer:

Carmen has to work 9 hours to make $153.

Step-by-step explanation:

Well first we would need to find out how much she makes an hour, so to do that we would divide the 221 by 13 hours and get 17. Then you just keep multiplying until you have the right number.

17x4=68

17x5=85

17x6=102

17x7=119

17x8=136

17x9=153

\(\sqrt{7^{16}} = 7^n\\\\\implies \left(7^{16}\right)^{\tfrac 12} = 7^n\\\\\implies 7^{\left(\tfrac 12 \times 16\right)}=7^n\\\\\implies 7^8 = 7^n\\\\\implies \ln 7^8 = \ln 7^n\\\\\implies 8\ln 7 = n \ln 7\\\\\implies n =8\)

The product of the vectors v and w is gotten as; v ⋅ w = 22

We are given the vectors;

r = <8, 8, -6>

v = <3, -8, -3>

w = <-4, -2, -6>

We want to evaluate v.w which is a product of both vectors.

The formula will be;

v.w = (v_x * w_x) + (v_y * w_y) + (v_z * w_z)

Plugging in the values and solving gives;

v.w = (3 * -4) + (-8 * -2) + (-3 * -6)

v.w = -12 + 16 + 18

v.w = 22

We can conclude that the vector expressions has a product of 22

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Work Shown:

LCM = (product of two numbers)/(HCF of the two numbers)

LCM = 1536/16

LCM = 96

Answer:

b

Step-by-step explanation:

Answer:

The slope of a line can be calculated using the following formula:

```

m = (y2 - y1) / (x2 - x1)

```

where `m` is the slope, `y2` and `y1` are the y-coordinates of the two points, and `x2` and `x1` are the x-coordinates of the two points.

In this case, we have the following points:

```

(x1, y1) = (-3, -1)

(x2, y2) = (3, -10)

```

Plugging these values into the formula, we get the following:

```

m = (-10 - (-1)) / (3 - (-3)) = -9 / 6 = -3/2

```

Therefore, the slope of the line is **-3/2**. So the answer is (c).

Step-by-step explanation:

We can use the given formula for the rate of change of the weight of the solid to estimate the amount of solid 1 second later.

If there is 6 grams of solid at time t, then f(t) = 6 g.

To estimate the amount of solid 1 second later, we can use the derivative formula:

f'(t) = −2f(t)(5+ f(t))

We want to estimate the value of f(t+1), which represents the weight of the solid 1 second later.

To do this, we can use Euler's method, which is an approximation method for solving differential equations.

Euler's method uses the formula:

f(t+1) ≈ f(t) + f'(t)Δt

where Δt is the time step (in minutes).

Since we want to estimate the amount of solid 1 second later, we can set Δt = 1 minute.

Plugging in the values for f(t) and f'(t), we get:

f(t+1) ≈ f(t) + f'(t)Δt

f(t+1) ≈ 6 - 2(6)(5+6)

f(t+1) ≈ -66

Therefore, the estimated weight of the solid 1 second later is -66 grams. However, this result does not make physical sense since weight cannot be negative.

It is possible that the given formula for f'(t) does not accurately describe the behavior of the solid, or that there was an error in the calculation.

or maybe im just bad at maths

Solid will this lesson focus on the regular square pyramid

Regular square pyramid.

The justification is stated below:

Four triangular faces, five vertices, and eight edges make up the typical square pyramid's square base. The main formulae for a square pyramid are volume and surface area.

By definition, a regular square pyramid is one that has a base that is square, meaning that each of its sides is the same length.

Because it has an apex, a height, lateral faces that are congruent isosceles triangles, and slant height, you can tell that it is a pyramid (the altitude of the lateral faces).

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Key features for the graph given in the problem will be-:Vertex (-1, -5), Axis of symmetry=> (x = -1), y-intercept (0,-3), Minimum=> (y=-5), Domain=> (All Real), Range=>( y >= -5)

Refering to the graph given in the problem(refer image attached).The key features of the graph can be given as:

The graph has an upward-opening form, an axis of symmetry at x = -1, a y-intercept at (0, -3), a minimum point at y = -5 (which is also the vertex), and it spans all real numbers on the x-axis (domain) while being larger than or equal to -5 on the y-axis (range).

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Answer:

Yes because I believe my friend

Step-by-step explanation:

The area is:

Explanation:

To find the circle's area, use the formula \(\sf{A=\pi r^2}\).

where:

A = area;

π = 3.14 (pi);

r = radius

Diagram:

\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 13\ in}\end{picture}\)

Plug in the data:

Answer:   5/8

Step-by-step explanation:

Answer:

The probability is 5/8

Step-by-step explanation:

First, we must add all the numbers together. 5 + 8 + 7 + 4 = 24. Now, let's add the white balls and green balls. 5 + 4 = 9. Therefore, the probability of choosing a white or green ball is 9/24 which also equals 3/8. To find out the probability of NOT choosing white or green, we must subtract 9 from 24. 24 - 9 = 15. So, the probability of choosing neither the white or green balls equals 15/24 which also equals 5/8.

Hope this helps!!

Answer:

\( \pink{\maltese{ \text{BODMAS \:Full \: Form \: }}}\)

The expression (48-24)÷3×4 as per BODMAS rule.

(48-24)÷3×4

=24÷3×4

=8×4

=32

Now,

The given question is,

Simplify:

\( \displaystyle{ \frac{7}{8} \div 5 \frac{1}{3} \times \frac{24}{7} }\)

\( \displaystyle{ = \frac{7}{8} \div \frac{16}{3} \times \frac{24}{7} }\)

\( \displaystyle{ = \frac{ \cancel{7} \times 3 \times \cancel{24} \: {}^{3} }{ \cancel{8 } \times 16 \times \cancel{7}} }\)

\( \displaystyle{ = \frac{3 \times 3}{16} }\)

\( \displaystyle{} = \frac{9}{16} \)

Thus,the final answer is 9/16.

Solution -:

\( \frac{7}{8} \div 5 \frac{1}{3} \times \frac{24}{7} \)

Let's begin-

solve,,,

Now,,According to BODMAS rule fist we divide ,

\( \frac{7}{8} \times \frac{3}{16} \times \frac{24}{7} \\\)

Now , we multiple

\( \frac{3 \times 3}{16} \\ \\ = \frac{9}{16} \)

and this is our final answers

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

Division → Multiplication → Addition → Subtraction

2/5÷4

= 2/5÷4/1

change th

= 2/5 * 1/4

= 2/20

= 1/10

Answer:

%140 I think

Step-by-step explanation:

Double would be a %100 error

add %10 for every 100 after

Answer:52.4%

Step-by-step explanation:

Find the difference between the actual number and the estimated number. This difference is the part. Use it to write a part-to-whole ratio and then divide to find the percent error.

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

12/99 as a decimal is:

0.121212121

Answer: 0.121212121

Step-by-step explanation:

Answer:

The tightened spot is 10 feet away from the foot of the pole.

Step-by-step explanation:

1. Draw the diagram. Notice that the shape of the electric pole and its supporting wire creates a right triangle.

2. We know 2 side lengths already (26ft, 24ft), and we need to find 1 more side length. Therefore, to find the 3rd side length of a right-triangle, utilize Pythagoras' Theorem.

⭐What is the Pythagoras' Theorem?

3. Substitute the values of the side lengths into the equation, and solve for the unknown side length.

Let B= the distance from the tightened spot to the foot of the pole.

\((C)^2 = (A)^2 + (B)^2\)

\(26^2 = 24^2 + B^2\)

\(676 = 576 + B^2\)

\(100 = B^2\)

\(\sqrt{100} = \sqrt{(B)^2}\)

\(10 = B\)

∴ The tightened spot is 10 feet away from the foot of the pole.

Diagram:

Answer:

Step-by-step explanation:

40 x 1 = 40

20 x 2 = 40

10 x 4 = 40

8 x 5 = 40

The better strategy is to play the 'regular” defense. Because the probability of play in the 'regular” defense is more.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A football coach is trying to decide:

The coach reviews the outcomes of 100 games.

                        Regular defense       Prevent defense       Total

Win                           41                                32                       73

Loss                           9                                18                        27

Total                         50                               50                      100

The probability of winning when playing regular defense will be

⇒ 41 / 50

⇒ 0.82

The probability of winning when playing prevent defense will be

⇒ 32 / 50

⇒ 0.64

Then the better strategy is to play the 'regular” defense.

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Answer:

x = 21

Step-by-step explanation:

To see for what value of x is the equation true, we have to solve x.

\(\displaystyle \frac{2}{3} x - 3 = 11\\\\Adding \ 3 \ to \ both \ sides\\\\\frac{2x}{3} = 11 + 3\\\\\frac{2x}{3} = 14\\\\Multiply \ 3 \ to \ both \ sides\\\\2x = 14 \times 3\\\\2x = 42 \\\\Divide\ both\ sides\ by\ 2\\\\x = 42/2\\\\x = 21\\\\For \ x = 21\ the \ given \ equation \ is \ true.\\\\\rule[225]{225}{2}\)

Hope this helped!

The maxim "The height is a vertical distance" applies to all cylinders.

The three-dimensional form of a cylinder is made up of two parallel cylindrical bottoms connected by a surface that curves. The right cylinder is created when the centers of the cylindrical sides cross each other. The axis, which represents the diameter of the cylinder, is the line section that connects the two points.

A cylinder is a solid three-dimensional figure with two sides that are identically spherical and are connected by a surface with curves that is located at a specific height from the center. Real-world instances of cylinders include toilet paper rolls and chilled beverage cans.

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