A garden has an area of 400m2?
The garden is divided into 16 congruent square plots.
What is the side lenght of each plot?

Pls help!!!
Help!!!!

a) The limit of the expression lim (Vy^2-3y - - y) as y approaches infinity is 0.

b) The limit of the expression lim (tan(ax) / (x - 0)) as x approaches 0, where a ≠ 0, is a.

a) To determine the limit of the expression lim (Vy^2-3y - - y) as y approaches infinity, we simplify the expression:

lim (Vy^2-3y - - y)

= lim (Vy^2-3y + y) (since -(-y) = y)

= lim (Vy^2-2y)

As y approaches infinity, the term -2y becomes dominant, and the other terms become insignificant compared to it. Therefore, we can rewrite the limit as:

lim (Vy^2-2y)

= lim (Vy^2 / 2y) (dividing both numerator and denominator by y)

= lim (V(y^2 / 2y)) (taking the square root of y^2 to get y)

= lim (Vy / √(2y))

As y approaches infinity, the denominator (√(2y)) also approaches infinity. Thus, the limit becomes:

lim (Vy / √(2y)) = 0 (since the numerator is finite and the denominator is infinite)

b) To determine the limit of the expression lim (tan(ax) / (x - 0)) as x approaches 0, we use the condition that a ≠ 0 and evaluate the expression:

lim (tan(ax) / (x - 0))

= lim (tan(ax) / x)

As x approaches 0, the numerator tan(ax) approaches 0, and the denominator x also approaches 0. Applying the limit:

lim (tan(ax) / x) = a (since the limit of tan(ax) / x is a, using the property of the tangent function)

Therefore, the limit of the expression lim (tan(ax) / (x - 0)) as x approaches 0 is a, where a ≠ 0.

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Samantha often talks on her cell phone while driving. this can be distracting and increases her chance of having an accident. Don't use the phone at all while driving.

What is rules of driving?

I will advise her to refrain from using her phone at all while driving.

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Answer:

15 times

Step-by-step explanation:

Proportion of times first base is reached = 3 / 10

If Number of times at bat = 50

Number of times first base is reached :

Proportion * Number of times at bats

3/ 10 * 50

(3 * 50) / 10

(150 / 10)

= 15 times

Answer:

x=45

Step-by-step explanation:

2(45)=90

90/2=90/2

Answer:

$16

Step-by-step explanation:

$24 - $8 = $16

Answer:

$ 16

Step-by-step explanation:

$ 24 - $ 8 = $ 16

Answer:

-10+4=-x

-x_=-6_

x=6

if you don't understand

negative x over negative x and negative x over 6 the negative will cancle the negative you will get x to be 6

️\(\qquad\)☀ Let , \(\bf A_1\) ,\(\bf A_2\),\(\bf A_3\) be the three A.M.'s between A and 22 such that A,\(\bf A_1\), \(\bf A_2\), \(\bf A_3\),22 are in A.P.

Where –

\(\qquad\)______________________

We are given –

\(\qquad\) \(\twoheadrightarrow\bf A_5 \: OR \: a+4d = 22\)

\(\qquad\) \(\pink{\twoheadrightarrow\bf a +4d = 22 ----\:Eq(1)}\)

According to the question –

\(\qquad\) \(\twoheadrightarrow\bf a + d + a + 2d + a + 3d = 42\)

\(\qquad\) \(\twoheadrightarrow\bf 3a + 6d = 42\)

\(\qquad\) \(\pink{\twoheadrightarrow\bf a + 2d = 14 ----\: Eq(2) }\)

Here, we got value of 3rd terms. Now substrate Eq(2) from Eq(1)–

\(\qquad\) \(\twoheadrightarrow\bf (a + 4d) - (a + 2d) =  22 - 14\)

\(\qquad\) \(\twoheadrightarrow\bf 2d = 8\)

\(\qquad\) \(\purple{\twoheadrightarrow\bf d = 4}\)

Now,let's put the value of d in Eq(1)–

\(\qquad\) \(\purple{\twoheadrightarrow\bf a +4d = 22}\)

\(\qquad\) \(\twoheadrightarrow\bf a = 22 -4 \times 4\)

\(\qquad\) \(\twoheadrightarrow\bf a = 22 -16\)

\(\qquad\) \(\purple{\twoheadrightarrow\bf a = 6}\)

\(\qquad\)______________________

The first term is a, hence the value of A is 6

The nth term of an Arithmetic sequence is expressed as:

Tn = a+(n-1)d

where:

Let the Arithmetic between A and 22 to be a, a+d and a+2d

If the sum is 42, hence;

a+d+a+2d+a+3d = 42

3a + 6d = 42

a + 2d = 14....... 1

Also if the 5th term is 42, hence:

a + 4d = 22

From equation 1, a = 14 - 2d

Equation 2 will become 14-2d+4d = 22

2d = 8

d = 4

Since a = 14-2d

a = 14-8

a = 6

Since the first term is a, hence the value of A is 6.

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Answer:

Step-by-step explanation:

31 × 29 + 14 = 913

Then

913 / 29 = 31 r 14

The frequency table based on the information will be:

Cat Dog Rabbit

Male 5 10 5

Female 15 6 16

Total 20 16 21

We know that 40% of Jacob's friends said dogs, so we can put 16 in the dog column.

We also know that 3/8 of his friends said cats. To find out how many friends that is, we can multiply the total number of friends (40) by 3/8, which gives us 15. We can put this number in the cat column.

We also know that twice as many females as males said rabbits. This means that R = 2(M), or equivalently, M = R/2.

Now we can use the fact that a total of 40 friends were surveyed:

M + F = 40

R/2 + F = 40

Solving this system of equations, we get F = 24 and R = 16.

Then, we can put 16 in the rabbit column.

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Jacob asked 40 friends to tell him which animal they like best from cat or dog or rabbit. 7 of the 18 of his female friends said cats. Twice as many females as males said rabbits. 40% of his friends said dogs. 3/8 of his friends said cats.

Complete the two-way frequency table.

An abstract data type, Poly with three private data members a, b and c (type double) to represent the coefficients of a quadratic polynomial in the form are defined

By encapsulating the coefficients as private data members, we ensure that they can only be accessed or modified through specific methods provided by the Poly ADT. This encapsulation promotes data integrity and allows for controlled manipulation of the polynomial.

The Poly ADT supports various operations that can be performed on a quadratic polynomial. Some of the common operations include:

Initialization: The Poly ADT provides a method to initialize the polynomial by setting the values of 'a', 'b', and 'c' based on user input or default values.

Evaluation: Given a value of 'x', the Poly ADT allows you to evaluate the polynomial by substituting 'x' into the expression ax² + bx + c. The result gives you the value of the polynomial at that particular point.

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If you have three side lengths, you should find the angle opposite the smallest side to determine the lowest angle, the angle opposite the medium-sized side to determine the greatest angle, and the angle opposite the largest side to determine the greatest angle.

Two rays that have a common terminal and are referred to as the angle's sides and vertices, respectively, make up an angle in Euclidean geometry. Two rays can form angles in the plane where they are positioned.

Angles are also produced when two planes intersect.

These are what are known as dihedral angles.

Consequently, if you have three side lengths, you should discover the lowest angle by finding the angle that is opposite the smallest side, the medium-sized angle by finding the angle that is opposite the medium-sized side, and the greatest angle by finding the angle that is opposite the largest side.

Therefore, if you have three side lengths, you should find the angle opposite the smallest side to determine the lowest angle, the angle opposite the medium-sized side to determine the greatest angle, and the angle opposite the largest side to determine the greatest angle.

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Answer:

C. 49

Step-by-step explanation:  

Cats  :   dogs

  7     :     8

  59  :     56

8 x 7= 56

so, 7 x 7= 49

Answer:   2.88 km.

Step-by-step explanation:

We will discuss here how to find the distance when speed and time are given.

When speed and time are given, the distance travelled is calculated by using the formula:

Distance = Speed × Time

The unit of time in speed should be the same as that of the given time.

Solved examples to calculate distance when speed and time are given:

1. How much distance will be covered in 5 hrs at a speed of 55 km per hour?

Solution:

Distance covered in 1 hour = 55 km.

We know, Distance = Speed × Time

Distance covered in 5 hrs = 55 × 5

                                  = 275 km.

Therefore, distance covered in 5 hrs = 275 km.

2. A bus travels at a speed of 45 km/hour. How far will it travel in 36 minutes?

Solution:

Speed = 45 km/hour

Time = 36 minutes

      = 36/60 Hour (Since we know, 1 hour = 60 minutes)

      = 3/5 hour

Distance = speed × time

           = 45 × (3/5) km

           = (45 × 3)/5 km

           = 27 km.

3. How much distance will be covered in 7 hrs at a speed of 62 km per hour?

Solution:

Distance covered in 1 hour = 62 km.

We know, Distance = Speed × Time

Distance covered in 7 hrs = 62 × 7

                                     = 434 km.

Therefore, distance covered in 7 hrs = 434 km.

4. Mike drives his car at a speed of 70 km per hour. How much distance will he cover in 3 hours 30 minutes?

Solution:

Speed of the car = 70 km/hr

Time taken         = 3 hours 30 minutes

                        = 3 ½ hours.

Distance covered in 1 hour = 70 km

Distance covered in 3 ½ hour = 70 × 3 ½ km

                                          = 70 × 7/2 km

                                          = 245 km.

5. How much distance will be covered in 1 ½ hour at a speed of 32 m per minute?

Solution:

[1 ½ hr = (60 + 30) minutes = 90 minutes].

Distance covered in 1 minute = 32 metres.

Distance covered in 90 minutes = 32 × 90 = 2880 m.

We know, 1 m = 1/1000 km.

                     = 2880/1000 km.

                     = 2.88 km.

Hope this helps!

To practice adding mixed numbers with like denominators, you can use worksheets that include problems with varying variables.

Adding mixed numbers with like denominators. Since you mentioned worksheets, I'll explain the process step-by-step, and you can apply these steps to any worksheet problems you have.

Step 1: Identify the mixed numbers and their like denominators.
In a given problem, you'll be given mixed numbers (a whole number and a fraction combined) with like denominators (same number in the denominator).

Example: 2 1/4 + 3 3/4 (Both fractions have the denominator 4)

Step 2: Add the whole numbers.
Add the whole numbers of the mixed numbers together.

Example: 2 + 3 = 5

Step 3: Add the fractions with like denominators.
Add the numerators (top numbers) of the fractions and keep the denominators the same.

Example: 1/4 + 3/4 = (1+3)/4 = 4/4

Step 4: Simplify the fraction, if needed.
If the fraction is improper (numerator is equal to or greater than the denominator), simplify it to a mixed number.

Example: 4/4 = 1

Step 5: Combine the whole numbers and simplified fractions.
Add the whole numbers from Step 2 and the simplified fraction from Step 4.

Example: 5 (whole number) + 1 (simplified fraction) = 6

Final Answer: 2 1/4 + 3 3/4 = 6

Now, you can apply these steps to any problem in your adding mixed numbers with like denominators worksheets. Good luck!

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The probability that no boys will be chosen is 0.2857

What is probability?

The area of arithmetic called likelihood deals with numerical representations of the chance that an incident can occur or that a press release is true.

Main Body:

Total students =22

total boys = 10

total girls =12

Now we have to chose 2 girls from 12 , so combination is used to select ,

⇒¹²C₂

Also, We have to chose 2 girls from 22 students

so it can be represented as ,

⇒²²C₂

Probability of choosing 2 girls = ¹²C₂/²²C₂

On solving this we will get = 0.2857

Hence the probability is 0.2857

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Answer:

hope this helps

Step-by-step explanation:

l = 24 cm

b = 18 cm

h = 14 cm

S.A of cuboid = 2 (l+b) × h

= 2 (42) × 14

= 84 × 14

= 1,176 cm²

Answer:

V = 60 ft³

Step-by-step explanation:

V = a^2 h/3 = 3^2 ·20/3 = 60 ft³

Please give the brainliest, really appreciated.

The volume of the pyramid is 60 cubic feet.

Volume is a measure of the amount of space that a three-dimensional object takes up. It is typically measured in cubic units, such as cubic meters or cubic feet. The volume of an object can be calculated using its dimensions, which vary depending on the shape of the object

The formula for the volume of a square pyramid is:

V = (1/3) x b² x h

where b is the length of the base edge and h is the height of the pyramid.

Substituting the given values, we have:

V = (1/3) x (3 ft)² x 20 ft

V = (1/3) x 9 ft² x 20 ft

V = (1/3) x 180 ft^3

V = 60 ft³

Therefore, the volume of the pyramid is 60 cubic feet.

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Answer:

yes

Step-by-step explanation:

1 ton = 1000 kg

1000 kg = 1 ton

Yes, 1 ton equals 1000 kilograms.

The kilogram (or kilogram) is the International System of Units (SI) unit of mass, with the unit symbol kg. It is a measure widely used in science, technology and business around the world and is often colloquially referred to simply as one kilo. It means "thousand grams". Kilograms are defined in seconds and meters, both based on basic physical constants. This allows properly equipped metrology laboratories to calibrate mass measurement devices such as kibble balances as a primary standard for accurate kilogram mass determinations.

Kilogram [kg] Gram [g]

0.01 kg              10 g

0.1 kg              100 g

1 kg                      1000 g

2 kg                      2000 g

3 kg                      3000 g

5 kg              5000 g

10 kg              10000 g

20 kg              20000 g

50 kg              50000 g

100 kg              100000 g

1000 kg              1000000 g

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Answer:

238.40

Step-by-step explanation:

you need to use "PRT"( Principal× Rate×time) but since it doesn't give us the time, we'll be only doing principal×rate. just multiply 596 and 40% And don't forget to put the percent sign bc it would change the price!! and I hope that helps u

Answer:

B

Step-by-step explanation:

Here, we want to calculate the square root of -√- (75)

That will be

-√(25)(-3)

= -5 √(-3)

√(-3) is same as 3i

So we have the root as;

-5i√3

The p-value is 0.01, which means that it is very rare to observe a test statistic that is equal to or more extreme than the one that was actually observed. SO the option a is correct.

In the given question, in a hypothesis test for population proportion, we calculated the p-value is 0.01 for the test statistic, we have to find which statement of the p-value is correct.

The p-value is the probability of obtaining results as extreme as, or more extreme than, the observed results of a statistical hypothesis test, assuming that the null hypothesis is true. A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.

A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.

If the null hypothesis is correct, the p-value is the likelihood that a test statistic will be equal to or more extreme than the one that was actually observed. Given that the null hypothesis is correct in this situation, the p-value of 0.01 indicates that it is extremely unusual to see a test statistic as dramatic as the one that was actually seen. This shows that the alternative hypothesis is more likely to be correct and that the null hypothesis is probably not true.

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The temperature is 77°F if you hear 156 chirps per minute and  is 59°F if you hear 84 chirps per minute.

Given, the outside temperature can be estimated based on how fast crickets chirp. At 104 chirps per minute, the temperature is 63"F and at 176 chirps per minute, the temperature is 81"F. We need to find the temperature if you hear 156 chirps per minute and 84 chirps per minute.

Let the temperature corresponding to 104 chirps per minute be T1 and temperature corresponding to 176 chirps per minute be T2. The corresponding values for temperature and chirp rate form a linear relationship. Taking (104,63) and (176,81) as the two points on the straight line and using slope-intercept form of equation of straight line:

y = mx + b

Where m is the slope and

b is the y-intercept of the line.

m = (y₂ - y₁)/(x₂ - x₁) = (81 - 63)/(176 - 104) = 18/72 = 0.25

Using point (104,63) and slope m = 0.25, we can calculate y-intercept b.

b = y - mx = 63 - (0.25 × 104) = 38

So the equation of the line is given by y = 0.25x + 38

a) Temperature if you hear 156 chirps per minute:

y = 0.25x + 38

where x = 156

y = 0.25(156) + 38y = 39 + 38 = 77

So, the temperature is 77°F if you hear 156 chirps per minute.

b) Temperature if you hear 84 chirps per minute:

y = 0.25x + 38

where x = 84

y = 0.25(84) + 38y = 21 + 38 = 59

So, the temperature is 59°F if you hear 84 chirps per minute.

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Answer:

Step-by-step explanation:

Let the number = x

So we are trying to work out what number must be subtract from the numerator and denominator of 5/3 to equal 5/7.

You can write this as:

\(\frac{ 5-x}{3 - x} = \frac{5}{7}\)

Then you want to get rid of the fractions so multiply both sides by 3-x

\(5 - x =\) \(\frac{5 ( 3 - x)}{7}\)

Then multiply both sides by 7

\(7( 5 - x) = 5 ( 3 - x)\)

Multiply it out.

35 - 7x = 15 - 5x

Add 7x to both sides:

35 = 15 - 5x + 7x

35 = 15 + 2x

Subtract 15 from both sides

35 - 15 = 2x

20 = 2x

To find x, divide both sides by 2.

x = 10.