Select the term that is suggested by the fugure

Answer:

The walkway should be 2ft wide.

Step-by-step explanation:

Let x be the width of the walkway surrounding the pool.

The area including the pool is 560ft².

Let's solve for the value of x.

The length plus twice the width of the pool is multiplied by the width plus twice the width of the pool. This makes up the whole area.

A = lw

560 = (24 + 2x)(16 + 2x)

560 = 384 + 48x + 32x + 4x²

4x² + 80x + 384 - 560 = 0

4x² + 80x - 176 = 0

Divide the whole equation by 4

x² + 20x - 44 = 0

(x + 22)(x -2) = 0

x = -22; x = 2

Since we are dealing with dimensions, take the one with the positive value.

x = 2ft

Let's check

560ft² = (24ft + 2x)(16ft + 2x)

560ft² = (24ft + 2(2ft)) (16ft + 2(2ft))

560ft² = (24ft + 4ft)(16ft + 4ft)

560ft² = (28ft)(20ft)

560ft² = 560ft² ✔

The perimeter and area of the square are; 24√2 units and 12 units² respectively

Given the coordinates of the midpoints of the four sides of a square are S(-4,11), Q(2,5), U(-4,-1), A (-10,5)

But since we have the midpoints of all the sides, we can assume they're equidistant from one another since the figure is a square.

SQ = √(x₂ - x₁)² + (y₂ - y₁)²

SQ = √(2 - (-4)² + (5 - 11)²

SQ = 6√2

Let's find QU

QU = √(-4 - 2)² + (-1 - 5)²

QU = 6√2

Let's find UA ;

UA = √(-10 - (-4))² - (5 - (-1)²

UA = 6√2

And the distance AS = 6√2

The perimeter of the square = 4 (6√2)

Perimeter = 24√2 units

The area of the square = l²

Area of the square = (6√2)²

Area of square = 12 units²

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Answer:

$3.20/gallon

Step-by-step explanation:

to fill up your tank at $3.20/gallon only costs $38.40

Answer:

27.2 yards

Step-by-step explanation:

perimeter=length+length+width+width

3.5+3.5+10.1+10.1=27.2

i think that's right

The probability that exactly three plants don't grow is given as follows:

0.0054 = 0.54%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The parameter values for this problem are given as follows:

The probability that exactly three don't grow is P(X = 3), hence:

P(X = 3) = C(8,3) x (0.05)^3 x (0.95)^5 = 0.0054.

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Answer:

There are 6 sections in the spinner so there are 6 possible places for it to land.

How many of the spaces have a letter on them?

The probability is found by dividing the number of spaces with a letter by the total number of places the spinner can land.

Step-by-step explanation:

We have that the  first term of the progression is

b=4

From the Question we are told that

Third terms of a Geometric Progression is 48

Sum of third and fourth terms is 144

Generally the equation for the common ratio  is mathematically given as

 r=3

Therefore

Since

 b=4

Answer:

=subtract 9 from each side

=divide each side by 2

=add 11 to each side

=Divide each side by 4

Step-by-step explanation:

Answer:

2x

Step-by-step explanation:

5, 10, 20, 40, 80

each step is multiplying by 2, therefore the sequence is 2x

Answer:

288.62

Step-by-step explanation:

Given:

Required:

Use the equation of the circle given above to find the center and radius.

Explanation:;

We know the standard equation of the circle

Now ,

in given equation, center is (1, -3) and radius is 4.

Answer:

Answered the question.

The original price of the bracelet was £1400.

Percentage is a way of expressing a proportion or a fraction as a part of 100. It is denoted using the symbol "%". For example, 50% means 50 out of 100, or half, while 25% means 25 out of 100, or one-quarter.

We can start by using the information given to set up an equation that relates the original price of the bracelet with the sale price and the percentage reduction:

original price x (100% - 70%) = sale price

Simplifying the percentage reduction:

original price x 30% = sale price

Substituting the given sale price (£420):

original price x 30% = £420

To solve for the original price, we need to isolate it on one side of the equation. We can do this by dividing both sides by 30% (which is the same as multiplying by 100/30 or 10/3):

original price = sale price / 30% = £420 / 30% = £1400

Therefore, the original price of the bracelet was £1400.

Complete question - A jewelry shop is having a sale. A bracelet is now reduced to £420. This is 70% of the original price. Work out the original price of the bracelet.

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Answer:

It will take 12 years using simple interest

Step-by-step explanation:

2,500 x 1.7% = 42.5

42.5 x 12 + 510

2500 +510 +3010

Answer:i cant draw on brainly

Step-by-step explanation:i cant draw

The correct r code to build a linear regression model with response variable y and explanatory variable x is option a. lm(y~x).

The code lm(y~x) will create a linear model with y as the response variable and x as the explanatory variable.

The lm() function in r is used for linear regression, and the formula y~x indicates that y is the response variable and x is the explanatory variable. The other options, lr(y~x) and lm(y, are not correct r code for building a linear regression model.

In summary, the correct r code for building a linear regression model with response variable y and explanatory variable x is lm(y~x).

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Explanation:

First, we will plot -2 1/6. So, the number is located to the left of -2. Starting from -2 it will be 1/6 to the left.

Since each unit is divided by 6 spaces, each space is equivalent to 1/6.

Then, to plot 4/3, we need to divide each unit into 3 parts and then take 4 parts

Answer:

So we can plot -2 1/6 and 4/3 as follows

After answering the given query, we can state that  the area of the rectangular garden \(rectangular_area = rectangular_area plus 112\\\)

In Euclidean mathematics, a rectangle is a parallelogram with four small angles. Another way to characterize it is as a basic rule-following hexagon or one with equal angles. Another choice for the parallelogram is a straight angle. Four of the vertices in a rectangle have the same length. Four vertices with 90° angles and identical parallel sides make up a quadrilateral with a rectangle-shaped cross section. This leads to it being known as a "equirectangular rectangle" at times. A rectangle is occasionally referred to as a parallelogram because its two edges are so equal and parallel to one another.

Let's use the letters "l" and "w" to denote the garden's length and breadth, respectively. Then, we are aware of:

\((l + 2)^2 = lw - 50\\l^2 + 4l - lw - 46 = 0\\area_rectangular - 46 - l2 + 4l = 0\\l = (-4 (4(area_rectangular + 46) + 16)) / 2)\\l = (area_rectangular plus 62) – 2\\(Area_rectangular + 62) equals l - 2\\(l + 2)^2 = lw - 50\)

\(Area_rectangular +62 /by 2=lw -50\\square_area = (l + 2)2 + 50\\rectangular_area = ((rectangular_area + 62))/2 + 50\\rectangle_area = rectangle_area + 62 + 50\\rectangular_area = rectangular_area plus 112\\\)

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Answer:This would be option letter C

Step-by-step explanation:The diagram is a gram of external geofram so the position Is fFX(4) ^N

Answer:

D

Step-by-step explanation:

f(x)= -x^2+4

Draw graph of -x^2 and shift it 4 units above

Answer:

Whats the question?

Step-by-step explanation:

Srry i couldnt help

Answer: 3 < w < 8

Step-by-step explanation:

If 3 is less than w you would write that as 3 < w.

Now you have 8, which is greater than w and that is written as 8 > w or w < 8.

Therefore, 3 < w < 8

The z-score of -1.6 is less than 2.00 but greater than -2.00.

Hence, we can conclude that the value is not unusual.

The correct answer is: -1.6; not unusual.

When we are given a test score of 48.4 on a test that has a mean of 66 and a standard deviation of 11,

we need to find the corresponding z-score and determine whether the value is unusual or not.

The formula for calculating z-score is:

z = (x - μ) / σ

Where, z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

Substituting the given values in the formula, we get: z = (48.4 - 66) / 11z = -1.6

Therefore, the z-score corresponding to the given value is -1.6.

Now, we need to determine whether this value is unusual or not.

A score is considered unusual if its z-score is less than -2.00 or greater than 2.00.

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The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Answer:

37 km

Step-by-step explanation:

Answer:

37kph

Step-by-step explanation:

518/14=37

kirui's monthly salary is 6000 and kaiuki's monthly salary is 4800.

Let

kirui's salary =x

kariuki's salary=y

Given,

In first month,

Total contribution=980

kirui's contributon=\(\frac{x}{12}\)

kariuki's contribution=\(\frac{y}{10}\)

In second month,

Total contribution=1550

kirui's contribution =\(\frac{x}{8}\)

kariuki's contribution=\(\frac{y}{6}\)

Equation for first month,

\(\frac{x}{12}+\frac{y}{10}=980\\\\5x+6y=980*60\\ \\5x+6y=58800.....i\)

Equation for second month,

\(\frac{x}{8}+\frac{y}{6} =1550\\ \\3x+4y=1550*24\\\\3x+4y=37200....ii\)

Solving eq. \(i and ii\)

\(3(5x+6y=58800)= > 15x+18y=176400\\5(3x+4y=37200)= > 15x+20y=186000\\\\Subtracting the equations,\\\\15x+18y=176400\\15x+20y=186000\\---------\\-2y=-9600\\\\y=4800\)

Substituting y in eq.\(ii\)

\(3x+4(4800)=37200\\\\3x=18000\\\\x=6000\)

Thus, kirui's monthly salary is 6000 and kaiuki's monthly salary is 4800.

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We can Add 7 black beads to make ratio 3 : 1.

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (b meaning black)b : 3

Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

We need 9 black beads in total.

Check answer

9 : 3    

Both sides divisible by 3; reduce ratio

= 3 : 1        

Which is Correct ratio

Hence, There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore , we need to add 7 black beads.

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Answer:

The answer is for x is 35 because 5x2 is 10 you put 0 as the answer and 1 at The top of the 3 then you say 2x3 is 6 and then abb the 1 to the 6 and you get 7 so when you put all the answers together you get 70

Answer:

2nt one

Step-by-step explanation:

Answer:

3000 for 15 years at 4.5% p.a CI is. Rs. 23809.41.

Answer:

8

Step-by-step explanation:

i think but Good Luck:D