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To find the area A of a rectangle, the length l must be multiplied by the width w. A farmer needs to build a fence to enclose a chicken pen with an area greater than or equal to 50 square feet. The length of the fence must be 10 feet.

A.Write an inequality that describes the widths w that will yield a fenced-in area of at least 50 square feet.
B. the screenshots

The horizontal distance from the point where the ball is hit to the point where the ball lands on the ground is 1.8 meters.

To find the horizontal distance from the point where the ball is hit to the point where the ball lands on the ground, we need to find the value of d when the height h is 0 (since the ball is on the ground again).

The function provided is h(d) = -1.8 + d. Let's set h(d) to 0 and solve for d:

0 = -1.8 + d

Now, let's isolate d by adding 1.8 to both sides:

d = 1.8

So, the horizontal distance from the point where the ball is hit to the point where the ball lands on the ground is 1.8 meters.

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The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 and the denominator is decreased by 1, then expression for new denominator is x + 9.

If your business starts with 3% awareness and grows awareness by 5% per week (compounded), how long will it take to reach 75% awareness is b) 66 weeks

Compound growth denotes the procedure of generating profits not only on the investment's principal amount, but also on the accumulated interest.

It is essentially reallocating its earnings where the investor's interest is integrated with the beginning sum, while additional interest is contingent on this amplified amount.

The purposeful act of compounding can yield noteworthy accomplishments over time, since interest earned from pre-existing income inflates drastically in value due to accruing interest outlays, and hence boosts the final outcome substantially and rapidly- resulting in exponential growth of the given input.

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The total number of red marbles in the vase are 10.

A ratio is described as a comparison between two amounts with the same unit to determine the amount of 1 quantity is contained in the other. Ratios are divided into two sorts.

The first is a part-to-part ratio, and the second is a part-to-whole ratio. The part-to-part ratio expresses the relationship between 2 separate entities or groupings.

Now, according to the question;

Let 'x' be the red marbles in the vase.

Let 'y' be the orange marbles in the vase.

The total number of marbles in the vase are 60

x  + y = 60 (equation 1)

The ratio of red marbles to orange ones is 1:5.

Thus, x/y = 1/5

cross multiplying;

5x = y

or y = 5x

substitute the value of y in equation 1;

x  + y = 60 (equation 1)

x  + 5x = 60

6x = 60

x = 10  (red marbles)

Thus, the number of red marbles in the vase are 10.

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Answer:

2.61799???

try calculating the equations and see which one gets you to 2.61799!!

Step-by-step explanation:

The probability that a randomly selected freshman has English as the first class of the day is 1/5 or 20%.

The expression that represents the conditional probability that a randomly selected freshman has English as the first class of the day is: p(E|Fr), where E represents English and Fr represents freshman.

To calculate this probability, we need to use the information from the two-way table. The total number of freshmen is given in the table as 150. The number of freshmen with English as their first class is 30.

So, the probability that a randomly selected freshman has English as the first class of the day can be calculated as:

p(E|Fr) = Number of freshmen with English as first class / Total number of freshmen

p(E|Fr) = 30 / 150

Simplifying the expression:

p(E|Fr) = 1/5

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An angular resolution of 0.56 arcseconds is required to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

Angular resolution is defined as the minimum angle between two objects that enables a viewer to see them as distinct objects rather than as a single one. A better angular resolution corresponds to a smaller minimum angle. The angular resolution formula is θ = 1.22 λ / D, where λ is the wavelength of light and D is the diameter of the telescope. Thus, the angular resolution formula can be expressed as the smallest angle between two objects that allows a viewer to distinguish between them. In arcseconds, the answer should be given to two significant figures.

To see the Sun and Jupiter as distinct points of light, we need to have a good angular resolution. The angular resolution is calculated as follows:

θ = 1.22 λ / D, where θ is the angular resolution, λ is the wavelength of the light, and D is the diameter of the telescope.

Using this formula, we can find the minimum angular resolution required to see the Sun and Jupiter as separate objects. The Sun and Jupiter are at an average distance of 5.2 astronomical units (AU) from each other. An AU is the distance from the Earth to the Sun, which is about 150 million kilometers. This means that the distance between Jupiter and the Sun is 780 million kilometers.

To determine the angular resolution, we need to know the wavelength of the light and the diameter of the telescope. Let's use visible light (λ = 550 nm) and assume that we are using a telescope with a diameter of 2.5 meters.

θ = 1.22 λ / D = 1.22 × 550 × 10^-9 / 2.5 = 2.7 × 10^-6 rad

To convert radians to arcseconds, multiply by 206,265.θ = 2.7 × 10^-6 × 206,265 = 0.56 arcseconds

The angular resolution required to see the Sun and Jupiter as distinct points of light is 0.56 arcseconds.

This is very small and would require a large telescope to achieve.

In conclusion, we require an angular resolution of 0.56 arcseconds to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

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The solution is

a) The number of solutions to the equation is 1

b) Diego finishes the milkshake in 30 seconds and Lin finishes the milkshake in 36 seconds

c) Diego finishes the milkshake first

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the time to finish the milkshake by Lin and Diego be represented as A and B respectively

Now , the equation will be

The amount of milkshake with Lin = 12 ounce

The rate at which Lin finishes her milkshake = 1/3 milkshake per second

The time for Lin to finishes her milkshake A = amount of milkshake with Lin / rate at which Lin finishes her milkshake

Substituting the values in the equation , we get

The time for Lin to finishes her milkshake A = 12/ ( 1/3 )

The time for Lin to finishes her milkshake A = 36 seconds

Now ,

The amount of milkshake with Diego = 20 ounces

The rate at which Diego finishes his milkshake = 2/3

The time for Diego finishes his milkshake B = 20 / ( 2/3 )

The time for Diego finishes his milkshake B = 30 seconds

Hence , Diego finishes his milkshake faster

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Answer:

The first one, 4x(-x+3)

Answer:

Q1. r=4,-4

Q2 x=6,-6

Step-by-step explanation:

Because I solved it

PLZ THANK FIVE STAR AND GIVE BRAINLIEST.

Answer:

?=83 degrees

Step-by-step explanation:

74+120=194

360-194=166

166÷2=83

You divide by two because it is an inscribed angle, so it will always be half the measure of the arc it is inscribing or enclosing.

Answer:

the fraction of the class that are boys is B/30, or b=30-g.

Both these answers work

Step-by-step explanation:

The  statement about probability that is true is option The probability of landing on orange is equal to the probability of landing on yellow.

From the  question, the spinner has:

8 sections, with:

So probability of one getting on any section is  = 1/8, or 0.125.

Therefore, the  probability of getting on orange will still be the same as the probability of landing on yellow and as such option C is correct.

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Answer:

  see below

Step-by-step explanation:

A vertical stretch is accomplished by multiplying the function value by the stretch factor.

  g(x) = 2f(x)

  g(x) = 2(x +3)

Answer:

1 and 3

Step-by-step explanation:

Ok so you need to start with solving each answer.

1. 5.20

2. 6

3. 4.6

so actually. 1 and 3 have a value less than or equal to 5 1/4 or 5.25

Step-by-step explanation:

1

\( \frac{1}{3 + 4i} \times \frac{3 - 4i}{3 - 4i} = \frac{3 - 4i}{25} = \frac{ 3}{25} - \frac{4i}{25} \)

2)

\( \frac{1}{3 - 4i} \times \frac{3 + 4i}{3 + 4i} = \frac{3 + 4i}{25} = \frac{ 3}{25} + \frac{4i}{25} \)

3)

1+0i

4)

\( \frac{3 - 4i}{3 + 4i} \times \frac{3 - 4i}{3 - 4i} = \frac{ - 7 - 24i}{25} = - \frac{7}{25} - \frac{24i}{25} \)

5)

3 - 4i

6)

\( \frac{3 + 4i}{3 - 4i} \times \frac{3 + 4i}{3 + 4i} = \frac{ - 7 + 24i}{25} = - \frac{7}{25} + \frac{24i}{25} \)

The root of this equation is determined to be approximately 0.567143.The root is found to be approximately -0.673253.

The Newton-Raphson method is an iterative numerical technique used to find the roots of equations. In the first equation, y = f(x) = e^x - x, the initial approximation x0 is set to 0. By applying the Newton-Raphson method, successive approximations of the root are calculated until convergence is achieved. The root of this equation is determined to be approximately 0.567143.

In the second equation, x^3 + 2x^2 + 6x + 3 = 0, the root is sought within the range (-1, 0). The Newton-Raphson method is employed again, starting with an initial approximation x0 of -1. Through iterative calculations, the root is found to be approximately -0.673253.

Both equations demonstrate the effectiveness of the Newton-Raphson method in finding roots within specific ranges by iteratively refining approximations until a satisfactory solution is obtained.

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Answer:

  3.5 miles

Step-by-step explanation:

The straight line distance from the school to the mall is found using the Pythagorean theorem. That distance is the hypotenuse of a triangle that is 27 blocks in the east-west direction and 22 blocks in the north-south direction.

  d = √(27^2 +22^2) = √1213 ≈ 34.83 . . . blocks

Since each block is 0.1 miles, the distance in miles is ...

  distance to mall = (0.1 miles/block)(34.83 blocks) = 3.483 miles

Rounded to tenths, the distance from school to mall is 3.5 miles.

Answer:

x=-7

Step-by-step explanation:

-x=7

/-1 on each side

x=-7

Answer:

x= -7

Step-by-step explanation:

-x = 7

Divide each side by -1

-x/-1 = 7/-1

x = -7

Answer:

i think A and B

Step-by-step explanation:

can i please get brainliest? thanks!

hope this helps

Answer:

a and b

Step-by-step explanation:

Answer:

yes

Step-by-step explanation: i think its correct

Answer:

Area=26sq.m

Step-by-step explanation:

A=1/2(b1+b2)h

h=height=4

b1=base 1= 5

b2=base 2=8

A=1/2(5+8)4

A=2(13)

A=26

Answer:

26

Step-by-step explanation:

(b+b) x h ÷ 2

(5+8) x 4 ÷ 2

13 x 4 ÷ 2

52 ÷ 2

26

Answer: 5/6

Step-by-step explanation:

(4/9)/(8/5)=5/6

Answer:

(11x+1)(2x+1)

Answer:

3

Step-by-step explanation:

3x4=12

3x9=27

4 cannot go into 27 without passing 9

Answer:

Factor of 12

= 2 × 2 × 3

Factor of 27

= 3 × 3 × 3

Now ,

CF = 3

HCF = 3

hence...the greatest common multiple of 12 and 27 is 3

\(...\)

Answer:

a.125.89..............