A Mad Professor has created a new kind of creature called a Blorg. For each Blorg, one hour after it is born, it gives birth to a new Blorg. Two hours after it is born, it gives birth to two more new Blorgs and then it immediately dies. If the Professor starts with one newborn Blorg at noon, how many live Blorgs does he have at 4:05 PM that afternoon after the new Blorgs have been born and the 2-hour-olds have died?​

Answer:

MJK=90

MJL=63

JLK=63

KML=27

MNL=126

Step-by-step explanation:

If this is a perfect rectangle, then I should be correct:

Each angle of a rectangle is 90 degrees, so MJK is 90

Since we know angle KJL is 27, and MJK is 90, just subtract them to get 63.

Angle JLK should be equal to angle MJL so it is also 63

Angle KML should be equal to angle KJL so it would also be 27

And finally, angle JKN should be 27 so 27+27=54. And since all angles of a triangle add up to 180, you can get angle MNL by subtracting 180-54 to get 126 because angle MNL and JNK/KNJ are equal to each other

Given:

An umbrella is made by stitching 10 triangular pieces of cloth.

Each pieces measuring 48cm,48cm, and 30cm.

To find:

The cost of required to make umbrella at rate of 5 paisa per square cm.

Solution:

Area of a triangle is:

\(A=\sqrt{s(s-a)(s-b)(s-c)}\)

Where,

\(s=\dfrac{a+b+c}{2}\)

Each pieces measuring 48cm,48cm, and 30cm. So,

\(s=\dfrac{48+48+30}{2}\)

\(s=\dfrac{126}{2}\)

\(s=63\)

Area of one triangular piece is:

\(A=\sqrt{63(63-48)(63-48)(63-30)}\)

\(A=\sqrt{63(15)(15)(33)}\)

\(A=\sqrt{467775}\text{ cm}^2\)

\(A\approx 683.9408\text{ cm}^2\)

Area of 10  triangular pieces is:

\(10\times 683.9408=6839.408\text{ cm}^2\)

The rate is 5 paisa per square cm. So, the total cost is:

\(6839.408\times 5=34197.04\)

Therefore, the total cost is 34197.04 paisa.

Answer:

15 cm

Step-by-step explanation:

we know the rectangles are 5 by 1 cm so looking at the length of the shaded area it’s the same length as a rectangle which is 5cm

the width is the length of a rectangle subtracted by 2 width of other triangle which is 3 cm

So we jus multiply 3 and 5 which is 15 cm

Answer:

13 3/10

Step-by-step explanation:

first you add the whole numbers, that equals 13

now make the denominators the same by multiplying or dividing the numerator and denominator to an equivalent fraction, I divided 2/5 to 4/10

now you add the numerators and you have 13 13/10

make that a proper fraction and you have 14 3/10

Answer:

14.3

Step-by-step explanation:

(6 2/5) + (7 9/10)= 14.3

The equation of the line that passes through point (8,-5) and perpendicular to y = x - 2 is y = -x + 3.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given that:

y = x - 2

To the equation of the line that passes through the point (8,-5) and is perpendicular to the line.

First, determine the slope of the initial line using the slope intercept-form. y = mx + b

y = x - 2

Slope m = 1

For the equation of line perpendicular to the initial line, its slope must be a negative reciprocal of the initial slope.

Hence, slope of the perpendicular line is;

Slope m = -1/1

Slope m = -1

Next, find the equation of the perpendicular line, by using the point slope formula.

y - y₁ = m( x - x₁ )

Plug in the slope m ( -1 ) and point (8,-5).

y - (-5) = -1( x - 8 )

y + 5 = -x + 8

y = -x + 8 - 5

y = -x + 3

Therefore, the equation of the line is y = -x + 3.

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The equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).

What is function?

For the parent function f(x) and a constant k >0,

then, the function given by  

g(x) = kf(x) can be sketched by vertically stretching f(x) by a factor of k if k>1 (or)

if 0 < k < 1 , then it is vertically shrinking f(x) by a factor of k

As per the given statement that the graph of f(x) is stretched vertically by a factor of 3 i.e

k = 3 >1

so, by definition

g(x) = 3 f(x) = 3 . 8(3)ˣ

= 8(3)ˣ⁺¹

= 24 (3)ˣ

Hence, the equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).

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This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.

This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.

This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.

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X is equal to 28

Hope this helps......

Answer:

x = 6

Step-by-step explanation:

6 x 2 = 12

Answer: look at the picture

Step-by-step explanation: Hope this help :D

the maximum height of a quadratic equation can be find Use the formula: x = -b / (2a) then Substitute the value of x back into the quadratic equation to find the corresponding maximum height.

To find the maximum height of a quadratic equation, you need to determine the vertex of the parabolic curve. The vertex represents the highest or lowest point of the quadratic function, depending on whether it opens upward or downward.

A quadratic equation is generally written in the form of y = ax² + bx + c, where "a," "b," and "c" are coefficients.

The x-coordinate of the vertex can be found using the formula: x = -b / (2a). This formula gives you the line of symmetry of the parabola.

Once you have the x-coordinate of the vertex, substitute it back into the original equation to find the corresponding y-coordinate.

The resulting y-coordinate represents the maximum height (if the parabola opens downward) or the minimum height (if the parabola opens upward) of the quadratic equation.

Here's an example:

Consider the quadratic equation y = 2x² - 4x + 3.

1. Identify the coefficients:

a = 2

b = -4

c = 3

2. Find the x-coordinate of the vertex:

x = -(-4) / (2 * 2) = 4 / 4 = 1

3. Substitute x = 1 back into the equation to find the y-coordinate:

y = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1

Therefore, the maximum height of the quadratic equation y = 2x² - 4x + 3 is 1.

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The maximum height of a quadratic equation can be found by determining the vertex of the parabolic shape represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), and the corresponding y-coordinate represents the maximum height.

To find the maximum height of a quadratic equation, we need to determine the vertex of the parabolic shape represented by the equation. The vertex is the point where the parabola reaches its highest or lowest point.

The general form of a quadratic equation is ax^2 + bx + c, where a, b, and c are constants. To find the x-coordinate of the vertex, we can use the formula x = -b / (2a).

Once we have the x-coordinate, we can substitute it back into the equation to find the corresponding y-coordinate, which represents the maximum or minimum height of the quadratic equation.

Let's take an example to illustrate this process:

Suppose we have the quadratic equation y = 2x^2 + 3x + 1. To find the maximum height, we first need to find the x-coordinate of the vertex.

Using the formula x = -b / (2a), we can substitute the values from our equation: x = -(3) / (2 * 2) = -3/4.

Now, we substitute this x-coordinate back into the equation to find the y-coordinate: y = 2(-3/4)^2 + 3(-3/4) + 1 = 2(9/16) - 9/4 + 1 = 9/8 - 9/4 + 1 = 9/8 - 18/8 + 8/8 = -1/8.

Therefore, the maximum height of the quadratic equation y = 2x^2 + 3x + 1 is -1/8.

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Answer:

No they are not equivalent

Step-by-step explanation:

Answer:

Not equivalent

Step-by-step explanation:

2(x-2)^2 equals 2(x^2 -4x +4) which simplifies to 2x^2 -8x +8 which makes h(x) = 2x^2 -8x -2 so not equal to g(x)

Answer: I think it's C

Step-by-step explanation: hope it helps

Answer:

0.0267m/s

Step-by-step explanation:

Given the following

Length of the wave = 10cm  = 0.1m

Time taken = 3.75seconds

Required

Wave speed in m/s

Speed = Distance/Time

Substitute the given values into the formula

Speed = 0.1/3.75

Speed = 0.0267m/s

Hence the speed of the wave in m/s is 0.0267m/s

Answer: 0.0267m/s

Step-by-step explanation: Hence the speed of the wave in m/s is 0.0267m/s because the Length of the wave = 10cm  = 0.1m

Wave speed in m/s

Speed = Distance/Time

Substitute the given values into the formula

Speed = 0.1/3.75

Speed = 0.0267m/s

Answer:

1. D

2. A

3. F

4. B

5. C

6. E

Step-by-step explanation:

This really should be in some other subject area, not mathematics

Anyways, here goes:

1. D

2. A

3. F

4. B

5. C

6. E

The percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

The expression \(25(0.93)^x\)represents the height of the ball after x bounces. To find the percent change in height after each bounce, we need to calculate the ratio of the change in height to the original height and express it as a percentage.

Let's denote the height after the first bounce as h_1, the height after the second bounce as h_2, and so on.

The percent change in height after the first bounce is given by:

Percent change = [(h_1 - original height) / original height] * 100%

Using the given expression, we can substitute x = 1 to find h_1:

h_1 = \(25(0.93)^1\) = 23.25

Therefore, the percent change in height after the first bounce is:

Percent change = [(23.25 - original height) / original height] * 100%

To find the percent change after subsequent bounces, we can continue this process. For example, after the second bounce:

h_2 = \(25(0.93)^2\)

And the percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

You can repeat this process for each subsequent bounce to find the percent change in height after each bounce using the given expression.

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the products are equal, we can conclude that the two ratios form a proportion. Therefore, we can say that the ratio of large staplers to small staplers is the same in both cases,

what is ratios ?

A ratio is a comparison of two or more quantities that can be expressed in the form of a fraction. Ratios can be used to describe the relationship between two quantities, such as the number of boys to the number of girls in a class, the ratio of sugar to flour in a recipe

In the given question,

To determine if these ratios form a proportion, we need to check if the two ratios are equal to each other. We can do this by cross-multiplying and checking if the products are equal.

The first ratio can be written as:

3 large staplers : 17 small staplers

We can also write it as:

3/17 = x

where x is the ratio of large staplers to small staplers.

The second ratio can be written as:

6 large staplers : 34 small staplers

We can also write it as:

6/34 = x

Now, we can cross-multiply to check if the two ratios are equal:

3/17 = 6/34

Cross-multiplying gives:

3 x 34 = 6 x 17

Simplifying:

102 = 102

Since the products are equal, we can conclude that the two ratios form a proportion. Therefore, we can say that the ratio of large staplers to small staplers is the same in both cases, and we can use this proportion to make calculations involving these ratios.

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We have the next information

A submarine Is at a depth of 350 feet below sea level means -350

First, it goes down 150 feet. means -150

Next, it goes up 132 feet. means +132

Then, it goes down 179 feet. means -179

Finally, it goes down 145 feet means -145

then we have the next operations

-350+(-150)+132+(-179)+(-145)=-692

The sing minus means that It is below the sea level

therefore the correct choice is

A It is 692 feet below sea level, because -350 + (-150) + 132 + (-179) + (-145) = -692.

Answer: 1404

Step-by-step explanation:

V=πr^2h

(3)(6)^2(13)

(3)(36)(13)=1404

The surface area of each face is 4 square inches.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

A regular octahedron has a surface area of 32 square inches.

That means

all sides are equal.

The surface area of each face is,

= 32/8

= 4 square inches.

Therefore, the required area is 4 square inches.

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Answer:

2x^2+2y+xy

Explanation:

x^2+x^2=2x^2

y+y=2y

Answer:

Step-by-step explanation:

I attached a picture below of what this situation looks like. As you can see, it is a right triangle problem. In order to solve for the speed of the boat, we first need to find out the difference between his distances when the angle is 60 and when it is 45. That's the same thing as finding x and y then subtracting. To find x:

\(sin60=\frac{200}x}\) so

x = 231 meters (I rounded to the nearest whole numbers in this problem.

To find y:

\(sin45=\frac{200}{231+y}\) so

\(y=\frac{200}{sin45}-231\) and

y = 52.

The distance between the angles 60 and 45 as 52 meters, and it took him 2 minutes to travel that 52 meters. Assuming that his rate doesn't change, he can travel 52/2 meters per minute, or 26 meters per minute.

"If the congruent sides in one isosceles triangle have the same measure as the congruent sides in another isosceles triangle, then the triangles are congruent."

The given statement true.

When two angles become congruent, their degree measures are the same. The reverse of something like the Isosceles Triangle Theorem asserts that the sides of a triangle opposing congruent angles are also congruent.

If two two triangles are congruent, then perhaps the sides opposite the congruent angles are equal, in accordance with the isosceles triangle theorem converse.

Mathematics is defined by theorems. A theorem is a proposition that has been proven true by a rigorous proof, which is a type of logical argument.

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Answer:what

Step-by-step explanation:what does this mean

Answer:

\(\sqrt{20\\}\)

Step-by-step explanation:

a^2 +b^2=c^2

c is the hypotenuse

assuming that 2 is a and 4 is b, then it would be:

2^2 + 4^2= c^2

4+16=c^2

20=c^2

take the square root of both sides

\(\sqrt{20}=\sqrt{c^{2} }\)

c=\(\sqrt{20}\)

hope this helped!! <333

To find the equation of the line, we will use the formula below;

x₁=-6 y₁=6 x₂=4 y₂=6

substitute the values into the formula

y - 6 = 0

y = 6

Answer:

17.5%

Step-by-step explanation:

We know that there are 35 out of 200 allergic to peanut

So we take

35 divided by 200, then times 100% = 17.5%

So, 17.5  of children are allergic to peanut

Answer:

11/15

Step-by-step explanation:

I dont have an explanation I just did this in a class

Answer:

c<1

Step-by-step explanation:

If you needed c by itself this would be c<1

The probability of the length of a randomly selected cane being between 205cm and 210cm is approximately 0.645 (rounded to 3 decimal places).

To find the probability of the length of a randomly selected cane being between 205cm and 210cm, we need to calculate the z-scores for these values and then use the standard normal distribution.

The z-score formula is given by:

z = (x - μ) / σ,

where x is the observed value, μ is the mean, and σ is the standard deviation.

For 205cm:

z1 = (205 - 208.5) / 2.5 = -1.4

For 210cm:

z2 = (210 - 208.5) / 2.5 = 0.6

Now, we can use a standard normal distribution table or a calculator to find the probability between these two z-scores.

Using a standard normal distribution table or a calculator, we find that the probability associated with z1 = -1.4 is approximately 0.0808, and the probability associated with z2 = 0.6 is approximately 0.7257.

To find the probability between these two z-scores, we subtract the probability corresponding to z1 from the probability corresponding to z2:

P(205cm < length < 210cm) ≈ P(z1 < z < z2) ≈ P(z < 0.6) - P(z < -1.4) ≈ 0.7257 - 0.0808 ≈ 0.6449.

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17/28 of all the letters are X's.