help pls quickly!!!!

Answer:

\(\frac{6}{12}\) \(= \frac{1}{2}\)

Step-by-step explanation:

\(\frac{1}{6} +\frac{2}{4}\)

Find LCM of 6 and 4 which is 12.

6*2=12

4*3=12

Do the same to the top parts of each part.

1*2=2

2*3=6

\(\frac{2}{12} + \frac{4}{12}\)

Now you can add them easily

\(\frac{2}{12} + \frac{6}{12} = \frac{6}{12}\)

Because 6 and 12 can still be divided by the same number (6) you need to divided it in order to get a simpler fraction.

6÷6=1

12÷6=2

\(\frac{1}{2}\)

(An improper fraction is one in which the numerator is larger than the denominator. Nothing in this equation was an improper fraction. Though, for example, \(\frac{12}{6}\) is an improper fraction. To get a mixed number/whole number. You would simply divide the numerator, 12, by the denominator 6. In doing so, you would get 2)

Answer:

The answer is letter D

Step-by-step explanation:

Answer:

7x+3x=10x

-6(x-7)= -6x+42

then 10x+12=-6x+42+9x

10x+12=3x+42

10-3=42_12

7x=30

then the correct answer is C

Answer:

greater than

Step-by-step explanation:

7/8 is greater than 4/8

The probability of getting at least one green card is 55/64.

Part (a)A tree diagram can help to keep track of the possibilities when drawing two cards with replacement from a deck of eight cards.

In this case, we have two events: G1 = first card is green G2 = second card is green The tree diagram for the given problem is as shown below: 5/8 G 3/8 Y 5/8 G 3/8 Y 5/8 G 3/8 Y G1 G1 Y G1 G2 G2 G2 G2

Part (b) Probability of first card being green P(G1) = 5/8 Probability of second card being green given that the first card was green P(G2|G1) = 5/8

So, P(G1 and G2) = P(G1) x P(G2|G1) = 5/8 x 5/8 = 25/64

Therefore, P(G1 and G2) = 25/64

Part (c)Probability of getting at least one green card means the probability of getting one green card and the probability of getting two green cards.

P(at least one green) = P(G1 and Y2) + P(Y1 and G2) + P(G1 and G2) P(at least one green)

= P(G1) x P(Y2) + P(Y1) x P(G2) + P(G1) x P(G2|G1) P(at least one green)

= (5/8) x (3/8) + (3/8) x (5/8) + (5/8) x (5/8)

= 15/64 + 15/64 + 25/64

= 55/64

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Answer:

(3,1)

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

since it says she has THREE children she gave each children a fraction of it which would be 1/8 each and in total of that would be 3/8 so she will have 5/8 left.

Hope that helped =）

Answer:

342.938 cm²

Step-by-step explanation:

Area of shaded region = area of rectangle - area of circle

= (length*width) - (π*radius²)

= (32*17) - (π8²)

= 544 - 201.06192983

= 342.93807017 ≈ 342.938 cm²

Answer:

A. yes B. no C. no D. yes

Step-by-step explanation:

ur welcome luv

I just need to fill 20 characters, the answer is right there on the sheet

The given differential equation y'' - 5y' + 6y = 0 can be factored as (D-2)(D-3)y = 0, where D denotes the derivative operator. Hence, the general solution is y = c1*e^(2x) + c2*e^(3x), where c1 and c2 are constants that depend on the initial conditions.

Using the given initial conditions, we can find c1 and c2 as follows:

y(0) = c1 + c2 = 1
y'(0) = 2c1 + 3c2 = 2

Solving this system of equations, we get c1 = -1 and c2 = 2. Therefore, the particular solution that satisfies the given initial conditions is:

y = -e^(2x) + 2*e^(3x)

To find ln(y(1)), we substitute x = 1 in the above expression:

y(1) = -e^2 + 2*e^3

Taking natural logarithm on both sides, we get:

ln(y(1)) = ln(-e^2 + 2*e^3)

Note that this is an exact value, which cannot be simplified further.
To find the solution of the given differential equation y'' - 5y' + 6y = 0 with initial conditions y(0) = 1 and y'(0) = 2, we will first find the complementary function and then apply the initial conditions to determine the constants.

The given equation is a second-order linear homogeneous differential equation with constant coefficients. We will start by finding the characteristic equation:

r^2 - 5r + 6 = 0

This can be factored as:

(r - 2)(r - 3) = 0

This gives us two roots, r1 = 2 and r2 = 3. Now, we can write the general solution for the differential equation as:

y(x) = C1 * e^(2x) + C2 * e^(3x)

Now, let's apply the initial conditions:

1. y(0) = 1:
C1 * e^(2*0) + C2 * e^(3*0) = 1
C1 + C2 = 1

2. y'(0) = 2:
The derivative of y(x) is:
y'(x) = 2C1 * e^(2x) + 3C2 * e^(3x)
y'(0) = 2C1 * e^(2*0) + 3C2 * e^(3*0) = 2
2C1 + 3C2 = 2

Solving this system of linear equations for C1 and C2, we get:
C1 = 1
C2 = 0

So, the particular solution is:
y(x) = e^(2x)

Now we need to find ln(y(1)):
ln(y(1)) = ln(e^(2*1)) = ln(e^2) = 2

So, ln(y(1)) = 2.

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Answer:

1.70

Step-by-step explanation:

15.30 ÷ 9 = 1.70

1.70 dollars per chicken wing

I hope this helps

The growth of the lily pad is in geometric progression, and it covers half the pond in 29 days.

In the question, we are given that the size of the lily pad doubles itself every day.

If we assume the size of the lily pad on the first day as a, then on the second day its size will be 2a, on the third day it will be 2(2a) = 4a, and on the fourth day, it will be 2(4a) = 8a, and so on.

This makes a geometric progression, with the first term as a, and the constant ratio as 2.

We are given that on the 30th day, the size of the lily pad, covers the entire pond.

The size on the 30th day can be shown as the 30th term of this geometric progression

Therefore, size of the  pond = a(2)³⁰⁻¹ = a.2²⁹. {Using the formula, aₙ = arⁿ⁻¹, where aₙ is the n-th term, a is the first term, and r is the constant ratio}.

We are asked the day on which the pond is half covered.

The size of the pond in this case = (a.2²⁹)/2 = a.2²⁸.

The day can be calculated as follows:

a.2ⁿ⁻¹ = a.2²⁸,

or, 2ⁿ/2 = 2²⁸,

or, 2ⁿ = 2²⁹,

or, n = 29.

Thus, the lily pad covers half the pond on the 29th day.

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Answer:

3 and -3

Step-by-step explanation:

You can go to the right and to the left of 0 to find 2 numbers away from 0. Going 3 units to the left of 0 gives you -3, and going 3 units to the right of 0 gets you positive 3.

The two numbers which 3 units away from 0 are 3 and -3 as it have 3 unit distance from 0.

Use the concept of addition defined as:

In mathematics, addition is an arithmetic operation that combines two or more numbers to produce a sum.

It is a fundamental operation used to calculate the total or the result of combining quantities.

When adding numbers, you start with the first number, and then incrementally add subsequent numbers to obtain a final sum.

The given numbers are:

3 units and 0 units.

If we add 3 in 0 then it represents 3 away far from 0

If we subtract 3 from 0 it represents 3 away far from 0

Hence,

The numbers are 3 and -3.

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Answer:I forgot how to solve that

Step-by-step explanation:

Answer:

They are the same number.

Step-by-step explanation:

3/5= 0.6. So they are the same

Step-by-step explanation:

\( {x}^{2} \times (3 {x}^{3} + 15) \\3 {x}^{2} + 15 {x}^{2} \)

hope it helps

\( \huge \frak \green{question}\)

Multiply the polynomials :-

x² ( 5x³ - 2x³ + 15)

\( \huge \frak \green{solution}\)

→ x² ( 5x³ - 2x³ + 15)

→ x² × (3x³ + 15)

→ 3x² + 15x²

This can be further solved as :-

→ 3x² + 15x²

→ 18x²

\( \huge \frak \red{answer}\)

18x²

Caleb pays $40 for 4 fence posts and $54 for 3 fence panels, resulting in a total cost of $94 for 4 fence posts and 3 fence panels.

Let's assign variables to unknown quantities. Let's say the cost of a fence post is "p" and the cost of a fence panel is "q". We need to find the total cost of 4 fence posts and 3 fence panels.

From the given information, we can set up the following equations:

Equation 1: 5p + 4q = 122

Equation 2: 21p + 20q = 570

To solve these equations, we can use the method of substitution or elimination. Let's use the method of substitution:

From Equation 1, we can express "p" in terms of "q":

5p = 122 - 4q

p = (122 - 4q) / 5

Substitute this value of "p" into Equation 2:

21((122 - 4q) / 5) + 20q = 570

Now we can solve this equation for "q" to find the cost of a fence panel.

After solving the equation, we find:

q = 18

Substitute the value of "q" back into Equation 1 to find the cost of a fence post:

5p + 4(18) = 122

5p + 72= 122

5p = 50

p = 10

Now we know that the cost of a fence post is $10 and the cost of a fence panel is $18.

To find the total cost of 4 fence posts and 3 fence panels, we can calculate:

Total cost = (4 * cost of a fence post) + (3 * cost of a fence panel)

Total cost = (4 * 10) + (3 * 18)

Total cost = $40 + $54

Total cost = $94

Therefore, Caleb pays $94 for 4 fence posts and 3 fence panels.

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Answer:

9y+19

Step-by-step explanation:

7y+9+2y+10

Combine like terms

7y+2y    +9+10

9y            +19

Given the average speed and distance covered, the time taken for the driver to complete the road trip is 5.7 hours

Speed is simply referred to as distance traveled per unit time.

Mathematically, Speed = Distance ÷ time.

Given the data in the question;

We substitute into our equation above.

Speed = Distance ÷ time

70 miles per hour = 400 mile ÷ Elapsed time

Elapsed time = 400 miles ÷ 70 miles per hour

Elapsed time = 5.7 hours

Given the average speed and distance covered, the time taken for the driver to complete the road trip is 5.7 hours.

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We can see here that determining whether quadrilateral ABCD is a parallelogram, we have: B. Yes; I used the Distance Formula to find that both pairs of opposite sides are congruent.

A parallelogram is a geometric shape that is defined as a quadrilateral with two pairs of parallel sides. This means that the opposite sides of a parallelogram are parallel and equal in length.

In addition, a parallelogram has several other properties. For example:

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Answer:

he can eat 2500 hot dogs

Step-by-step explanation:

Answer:

3min

Step-by-step explanation:

it is

3.1. No, {b} is not necessarily in the Sigma Algebra if {a} is.

3.2. No, {c} is not necessarily in the Sigma Algebra if {a} and {b} are.

In the context of the sample space S = {a, b, c, d} and the Sigma Algebra, we cannot conclude that {b} is necessarily in the Sigma Algebra if {a} is. Similarly, we cannot conclude that {c} is necessarily in the Sigma Algebra if both {a} and {b} are.

A Sigma Algebra, also known as a sigma-field or a Borel field, is a collection of subsets of the sample space that satisfies certain properties. It must contain the sample space itself, be closed under complementation (if A is in the Sigma Algebra, its complement must also be in the Sigma Algebra), and be closed under countable unions (if A1, A2, A3, ... are in the Sigma Algebra, their union must also be in the Sigma Algebra).

In 3.1, if {a} is in the Sigma Algebra, it means that the set {a} and its complement are both in the Sigma Algebra. However, this does not guarantee that {b} is in the Sigma Algebra because {b} may or may not satisfy the properties required for a set to be in the Sigma Algebra.

Similarly, in 3.2, even if {a} and {b} are both in the Sigma Algebra, it does not necessarily imply that {c} is also in the Sigma Algebra. Each set must individually satisfy the properties of the Sigma Algebra, and the presence of {a} and {b} alone does not determine whether {c} meets those requirements.

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A ball must be fast rolled is 185.2cm/sec, according to the question.

What do you mean by distance?

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

According to the given question,

We have the given information:

Table height = h = 70cm

Distance = s = 70cm

g = 9.8\(ms^{-1}\)

Now, we have to find the time of falling,

\(t=\sqrt{\frac{2h}{g} }=0.378c\)

Horizontal velocity,

\(v=\frac{s}{t}=\frac{70cm}{0.378s}=185.2cm/s\)

Therefore, the required answer is 185.2cm/sec.

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At the rate of 135 containers per minute, it will take approximately 7.4 minutes to fill 1000 containers.

To determine the time it takes to fill 1000 containers, we need to divide the number of containers by the rate at which they are filled. In this case, we have 1000 containers and a filling rate of 135 containers per minute, so we divide 1000 by 135 to find the time it takes to fill the containers:

1000 containers / 135 containers/minute = 7.40740740740741 minutes

Since a minute cannot be divided into fractions, we must round the result to the nearest whole number. This means that it will take approximately 7.4 minutes to fill 1000 containers at a rate of 135 containers per minute.

The machine will take 7.41 minutes (approx) to fill 1000 Containers.

Time taken to fill 135 Containers= 1 minute ...............(Given)

Time taken to fill 1 Container= 1/135 minute

Time taken to fill 1000 Containers = 1000 × 1/135 minutes

                                                         = 1000/135 minutes

                                                         = 200/27 minutes

                                                         ≈ 7.41 minutes​.

Thus, The machine will take 7.41 minutes (approx) to fill 1000 Containers.

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Answer:

okay and.....?

Step-by-step explanation:

is theyre not to the ? or sum

Answer:

The two speeds are equal

Step-by-step explanation:

The speed is the distance divided by the time

100 meters / 9.75 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth  10.26 meters per second

200 meters / 19.5 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth  10.26 meters per second

The two speeds are equal

\(\sf{\bold{\blue{\underline{\underline{Given}}}}}\)

\(\sf{\bold{\red{\underline{\underline{To\:Find}}}}}\)

\(\sf{\bold{\purple{\underline{\underline{Solution}}}}}\)

⠀

we know that,

\(\boxed{\sf{speed=\dfrac{distance}{time}} }\)

In the 100-meter race in the 2012 Olympics he takes 9.75 sec

BUTTT,

he ran the 200-meter race in 19.5 seconds.

According to the question,

we have to compare the speed

⠀⠀⠀

\(\sf{\bold{\green{\underline{\underline{Answer}}}}}\)

The two speeds are equal of Yohan Blake.

9514 1404 393

Answer:

  18/49

Step-by-step explanation:

Invert and multiply:

  3/7 ÷ 1 1/6 = (3/7) ÷ (7/6)

  = (3/7)×(6/7) = (3×6)/(7×7)

  = 18/49

Answer:

Step-by-step explanation:

3/7  /    7/6

3/7 x 6/7= 18/49

Answer:

Yes, 0.6 is greater than 0.59.

Step-by-step explanation:

The easiest way to determine which is greater, 0.6 or 0.59, is to plot both values on a number line.