A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days. It can be done by 9 men and 15 women in how many days ?

We conclude that the ball will reach the ground 3.98 seconds after it has been dropped.

We know that the height equation for an object dropped from a height h0 is given by the quadratic equation:

h = -16*t^2 + h0

If our ball is dropped from a height of 254 ft, then we can replace h0 by 254  in the quadratic equation:

h = -16*t^2 + 254

The ball will reach the ground when its height is equal to zero, so we can solve the equation:

h = 0 =  -16*t^2 + 254

For t.

0 = -16*t^2 + 254

16*t^2 = 254

t^2 = 254/16

t = √(254/16) = 3.98

We conclude that the ball will reach the ground 3.98 seconds after it has been dropped.

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Answer:

Step-by-step explanation:

aprils second answer was 8

Triangle MNL is congruent to triangle QNL because: they are congruent by either ASA or AAS.

The ASA is a triangle congruence theorem that states that two triangles are congruent if we can show that they have two pairs of corresponding congruent angles and a pair of included congruent side.

The AAS is also a triangle congruence theorem that states that two triangles are congruent if we can show that the two angles and a non-included side of one triangle is congruent to corresponding two angles and an included side in the other triangle.

Using the image given, we can prove the two triangles are congruent by ASA as follows:

m<MNL = m<QNL = 90°

m<MLN = m<QLN = 32°

NL = LN (reflexive property)

Also, we can show that they are congruent by AAS as shown below:

NL = LN (reflexive property)

m<MLN = m<QLN = 32°

m<NML = m<NQL = 90°

Thus, we can use ASA or AAS to show they are congruent triangles.

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Answer:

There would be 300 steel rods in a staircase frame with 20 steps.

Step-by-step explanation:

For 1 step there would be 15 steel rods.

So all we have to do is multiply 15 by the 20 steps.

15 * 20 = 300

So the answer is 300 steel rods.

Hope this helps! :)

Answer: It would be 300 steel rods cause you do 15 times 20 which is 300

Step-by-step explanation: I know cause the math was really easy

Answer:

i think the answer is d.

Step-by-step explanation:

tell me if this is wrong.

En el monomio:

Al ser terminos semejantes (todos tienen la misma variable "a") los terminos que se restan son 8a-10a= -2a, a este resultado se le suma 14a:

Answer:

......

Step-by-step explanation:

\( 5x = 95\)

\( \displaystyle{ \frac{5x}{5} = \frac{95}{5} }\)

\(x = 19\)

Answer:

19

__________________________________________________________

Divide 95 by 5

\(\frac{95}{5} = 19\)

Now we know that x is 19, solve the whole problem optionally.

\(5 * 19 = 95\)

__________________________________________________________

The figure ABCD is translated vertically to form the figure A'B'C'D'. Then the correct option is D.

Given that:

Rhombus, ABCD

Image of Rhombus, A'B'C'D'

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The translation does not change the shape and size of the geometry. But changes the location.

The reflection does not change the shape and size of the geometry. But flipped the image.

The figure ABCD is translated vertically to form the figure A'B'C'D'. Then the correct option is D.

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The elasticity of labor refers to the responsiveness of the quantity of labor supplied to changes in the wage rate. If the elasticity of labor is 0.60, a 15 percent increase in the wage rate will induce a decrease in the quantity of labor supplied, but the extent of this decrease will depend on the magnitude of the elasticity. The correct option is c.

In this case, a 0.60 elasticity implies that a 15 percent increase in the wage rate will result in a 9.0 percent decrease in the quantity of labor supplied. This can be calculated using the formula for elasticity, which is the percentage change in quantity divided by the percentage change in price (or wage rate, in this case):

Elasticity of labor = percentage change in quantity / percentage change in wage rate

0.60 = percentage change in quantity / 15 percent

Percentage change in quantity = 0.60 x 15 percent = 9.0 percent

Therefore, the correct answer is (c) a 9.0 percent decrease in the quantity of labor supplied. This means that as the wage rate increases, workers may be less willing to supply labor, resulting in a decrease in the number of workers willing to work at that wage rate.

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Answer:

Step-by-step explanation:

The general equation is

y = 2.49x + 24.99

The number of cones bought is x

The cake cost is 24.99

The total cost is y

===========

So the meaning of (5,37.44) is that she bought 5 cones and 1 cake. Let's just check that out.

Check

y = 2.49*5 + 24.99

y = 12.45 + 24.99

y = 37.44

So the total cost (y) of 5 cones (2.49 each) and 1 cake ($24.99) is 37.44

Here is a Venn diagram illustrating the relationship between the sets a, b, and c, where a is a subset of b and b is a subset of c:

     _______________

    |       c       |

    |               |

    |      _________

    |     |         |

    |     |    b    |

    |     |         |

    |     |______   |

    |            |  |

    |       a    |__|

    |_______________|

In this diagram, the set c is represented by the outer rectangle, the set b is the area inside the rectangle but outside the inner circle, and the set a is the area inside both the rectangle and the inner circle.

Since a is a subset of b, every element in a is also in b, and therefore the inner circle is entirely contained within the area representing b.

Similarly, since b is a subset of c, every element in b is also in c, and therefore the area representing b is entirely contained within the outer rectangle representing c.

This diagram shows that if a is a subset of b and b is a subset of c, then a is also a subset of c.

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Answer:

S.A. = 15.7

Step-by-step explanation:

S. A. = \(\pi r^{2} + \pi rl\)

1 x 1 x 3.14 = 3.14

3.14 x 1 x 4 = 12.56

12.56 + 3.14 = 15.7

The measure of the question mark is 135°

From the question, we are to determine the measure of the question mark

First,

Let us label the angles in the triangles.

For the first triangle,

Starting from the left hand side and in the clockwise direction, label the angles A, B and C

For the second triangle,

The left hand side angle is labeled D and the last angle E

Now, we can write that

A + 116° = 180° (Linear pair)

A = 180° - 116°

A = 64°

Also,

B + 106° = 180° (Linear pair)

B = 180° - 106°

B = 74°

A + B + C = 180° (Sum of angles in a triangle)

64° + 74° + C = 180°

C = 180° - 64° - 74°

C = 42°

C + 78° + D = 180° (Sum of angles on a line segment)

42° + 78° + D = 180°

D = 180° - 42° - 78°

D = 60°

? = 75° + D (Exterior angle of a triangle)

? = 75° + 60°

? = 135°

Hence, the measure of the question mark is 135°

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Find the length of side CD and then subtract from 7 to get side FC. Using the pythagorean theorem, you can find x.

5² - 3² = 16²

square root of 16 = 4

7 - 4 = 3

//

3² + 3² = 18²

square root of 18 = 4.242640687

round as you wish.

Answer:

Jasmine is correct.  The  triangles are similar.

Step-by-step explanation:

Triangle that have the same angle measurements are similar.

The sum of the interior angles of a triangle add up to 180

Triangle x has angles that measure 80 and 30.  That totals 110.  The third angle must be 70 so that it adds up to 180.

Triangle Y has angels that measure 80 and 70.  That adds up to 150, that means that its third angles must be 30

Both triangles have angle measurements to 80, 70, and 30 so they are similar.

Answer:

Susan needs 1 23/64 cubic feet of bird seed to fill the rest of the birdfeeder.

Step-by-step explanation:

I did the math.

0.11718 cubic feet of bird seed Susan need to fill the rest of the birdfeeder.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

We have,

It is filled with bird seed to a height of 5/8 feet as shown.

So, Susan need to fill the rest of the birdfeeder

= 5/8 x 1/2 x 3/8

= 15 / 128

= 0.11718 feet

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The possible observed values of a discrete random variable can be listed in a countable collection. A random variable is a measurement to be taken in a probability experiment.

An observed value of a random variable is the measurement that has been taken. A discrete random variable is a random variable in which there is a countable collection of possible observed values. That is, the discrete random variable can only take on specific values within a given range, and the probability associated with each value can be calculated. This countable collection of possible observed values is finite or countably infinite, and the probabilities sum up to 1.

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Answer:

2/1 or 2

Step-by-step explanation:

-8/-4= 8/4= 4/2= 2/1

Hope this helps!

If correct pls mark brainliest:)

Both negatives will eliminate each other, and 8/4 is 2.

The second statement is the most commonly used way of writing 223 as a combination of a whole number and a fraction, but there are many other ways to express it.

What is a fraction ?

A fraction is a mathematical concept used to represent a part of a whole. It is represented by two numbers separated by a line, called a fraction bar or a solidus. The number above the line is called the numerator, and the number below the line is called the denominator

223 can be written as:

223 wholes and 0/1 as the fraction

222 wholes and 1/1 as the fraction

221 wholes and 2/1 as the fraction

...

0 wholes and 223/1 as the fraction

Note that

Therefore, the second statement is the most commonly used way of writing 223 as a combination of a whole number and a fraction, but there are many other ways to express it.

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Answer:

1) 90 < x < 110

2) 2 < x < 12

Step-by-step explanation:

By the triangle inequality, the sum of the lengths of the shorter two sides of any triangle must be greater than the length of the longest side.

In the first example, this implies that x must be strictly between 90 and 110, and in the second example, x must be strictly between 2 and 12.

Hope this answers your question.

The most effective chunking of the digit sequence 14929111776 would depend on the purpose of chunking.

However, a possible effective chunking could be 14-92-91-11-77-6, which groups the digits into pairs or triplets based on their similarity or pattern. Another possible chunking could be 1492-911-1776, which separates the digits based on significant historical events. Ultimately, the effectiveness of chunking would depend on the context and intended use of the sequence. The most effective chunking of the digit sequence 14929111776 would be to group the numbers into smaller, manageable chunks. One possible way to chunk the sequence is: 149-29-11-17-76. This breaks the sequence into five groups, making it easier to remember and process.

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Answer:

-54

Step-by-step explanation:

\(-6\sqrt{100}+\sqrt{36} \\\)

Here \(\sqrt{100}\)=10 & \(\sqrt{36}\)=6

So,

\(-6*10 + 6=-60+6=-54\)

Answer:

The answer is -54. It's simple if you think about it a little bit harder.

Step-by-step explanation:

Answer:

Non-collinear points: These points, like points X, Y, and Z in the above figure, don't all lie on the same line. Coplanar points: A group of points that lie in the same plane are coplanar. Any two or three points are always coplanar. Four or more points might or might not be coplanar.

Step-by-step explanation:

X.509 certificates are widely used in public key infrastructure (PKI) systems to verify the authenticity and integrity of digital identities. Therefore, among the given options, D) Owner's symmetric key is the item that does not apply to an X.509 certificate.

X.509 certificates are widely used in public key infrastructure (PKI) systems to verify the authenticity and integrity of digital identities. They contain various information related to the certificate itself and the entity it represents. Let's examine the options to determine which one does not apply to an X.509 certificate:

A) Certificate version: X.509 certificates include a version number to indicate the format and features of the certificate.

B) The issuer of the certificate: X.509 certificates specify the entity or authority that issued the certificate, which is crucial for validating the certificate's trustworthiness.

C) Public Key Information: X.509 certificates contain public key information, such as the public key itself and related parameters, to facilitate secure communication and cryptographic operations.

D) Owner's symmetric key: X.509 certificates do not typically include the owner's symmetric key. They primarily focus on the public key infrastructure and asymmetric key cryptography.

Therefore, among the given options, D) Owner's symmetric key is the item that does not apply to an X.509 certificate.

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Answer:

Volume of cylinder = 706.5 units

Step-by-step explanation:

Volume of cylinder = πr^2×h

=3.14×5^2×9

=706.5 units

In perimeter, The cost to frame Joy's math certificate in a fancy frame is $138.00.

The dimensions of Joy's math certificate are 10 inches tall and 13 inches wide.

Joy wants to frame it in a fancy frame that costs $3.00 per inch.

To determine the total cost of framing the certificate, we need to find its perimeter and then multiply that by the cost per inch.

The perimeter of the certificate is:

Perimeter = 2 × (height + width)

Substituting the given values, we get:

Perimeter = 2 × (10 + 13)Perimeter = 46 inches

Therefore, the total cost of framing Joy's math certificate is:

Total cost = Perimeter × Cost per inch

Total cost = 46 × 3.00Total cost = $138.00

Thus, the cost to frame Joy's math certificate in a fancy frame is $138.00.

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Answer: 410 square km

Step-by-step explanation:

The area of each of the triangles with their base on the 10 km side is \(A=\frac{1}{2}(10)(13.4)\), so their combined area is \((10)(13.4)=134\).

The area of each of the triangles with their base on the 12 km side is \(\frac{1}{2}(12)(13)\), so their combined area is \((12)(13)=156\).

The area of the bottom rectangular face is \(10(12)=120\).

So, the total surface area is \(120+156+134=\boxed{410 \text{ km}^{2}}\)