The area of the rectangle is 20 square units. Find the length and width of the rectangle

Answer:

7 × 10^9 (that 9 is a exponent)

Step-by-step explanation:

The table shows the correct residual values for the data set regarding the scatterplot is D. A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5.

It should be noted that a scatterplot simply means a type of data display which shows the relationship between the variables.

In this case, the table shows the correct residual values for the data set regarding the scatterplot is a 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5.

The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, negative 1.22, 1.315, negative 1.99.

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Answer: 30.5

Step-by-step explanation:

If a student is selected randomly, the probability that the student is a junior given that the student is male is 14%.

Probability determines the odds that an event would happen. The odds of the event happening lie between 0 and 1.  

p (Junior | Males) = number of males that are junior / total number of males

2 / (4 + 6 + 2 + 2 ) = 2/14 x 100 = 14%

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Answer:

a²+1/a² = 7

Step-by-step explanation:

Given, a = (3+√5)/2

We have to find the value of a² + 1/a².

1/a = 1/((3+√5)/2) = 2/(3+√5)

By taking conjugate,

2/(3+√5) = 2/(3+√5) × (3-√5)/(3-√5)

= 2(3-√5) / (3+√5)(3-√5)

By using algebraic identity,

(a - b)(a + b) = a² - b²

(3+√5)(3-√5) = (3)² - (√5)²

= 9 - 5

= 4

2(3-√5) / (3+√5)(3-√5) = 2(3-√5) / 4

So, 1/a = (3-√5)/2

Now, a² = [(3+√5)/2]²

= (3+√5)²/4

By using algebraic identity,

(a + b)² = a² + 2ab + b²

(3+√5)² = (3)² + 2(3)(√5) + (√5)²

= 9 + 6√5 + 5

= 14 + 6√5

a² = (14+6√5)/4

= 2(7+3√5)/4

a² = (7+3√5)/2

Now, 1/a² = [(3-√5)/2]²

= (3-√5)²/4

By using algebraic identity,

(a - b)² = a² - 2ab + b²

(3-√5)² = (3)² - 2(3)(√5) + (√5)²

= 9 - 6√5 + 5

= 14 - 6√5

1/a² = (14-6√5)/4

1/a² = (7-3√5)/2

a²+1/a² = (7+3√5)/2 + (7-3√5)/2

= 7/2 + 3√5/2 + 7/2 - 3√5/2

= 7/2 + 7/2

= 7

Therefore, a²+1/a² = 7

Answer:

Probability of an event must be from 0 to 1.

Here,6/5 is more than 1 i.e. 1.2.

Hence,the answer is incorrect.

Answer:

^2x2√3+2x√2-^2x2√3-2x√2

Step-by-step explanation:

Answer:

nCr = 14!/3!11! =364

Step-by-step explanation

Answer:

rise is 11 and run is 2

Step-by-step explanation:

i believe but not fully sure

Answer:

5.5

Step-by-step explanation:

Answer:

Multiply the number by 3 to get the next number.

Step-by-step explanation:

Answer:

Impossible.

Step-by-step explanation:

I learned that you can use the word impossible during one of my math classes, so I chose the word impossible since she cannot lose a turn on her next turn.

Answer:

Answer:

$46.20

Step-by-step explanation:

Do 8.80 times 7 to get 61.6 then divide by four to get 15.40 then subtract it by 61.6 to get 46.20

Answer:

Step-by-step explanation:

Discussion

This should be answered with the mean. The lower the mean, the lower the  score it took to get the mean. So B is the answer.

IT IS B OK LETS GO YES

Answer: Undefined or Vertical Slope.

Answer:

9π cm

Step-by-step explanation:

Given diameter of circle (d) = 6cm

radius (r) = d/2 = 6/2 = 3cm

Area of circle = πr²

= π × 3²

= π × 9

= 9π

The area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.

The area of the circle is the space occupied by it. It is the product of pi and square of its diameter divided by 4. The area of the circle can be given as,

[tex]A=\pi\dfrac{d^2}{4}[/tex]

Here (d) is the diameter of the circle. The diameter of the circle is 6 cm.

[tex]d=6[/tex]

Put this value in the above formula to find the area of the circle as,

[tex]A=\pi\dfrac{6^2}{4}\\A=\pi\dfrac{36}{4}\\A=\pi\times9\\A=9\pi\rm\; cm[/tex]

Thus, the area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.

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Answer:

$3.40

Step-by-step explanation:

10% of $34

= [tex]\frac{10}{100}[/tex] × $34

= 0.1 × $34

=$3.40

Answer:

62

Step-by-step explanation:

all you do for this is take 496 and divide it by 8, which gives you 62, if you still need help explain I can reply with a step by step of showing how to divide

Answer:

Multiplication

The solution of given equation x = -20

Step-by-step explanation:

step (i) :-

given equation = -(x/4) = 5

multiply '1' on both sides we get

[tex] = - (( - \frac{x}{4} )) = - 5[/tex]

[tex] = \frac{x}{4} = - 5[/tex]

step (ii) :-

multiply '4' on both sides we get

[tex] = \: \: \: \: \: \frac{x}{4} \: \: \times \: 4 \: \: = - 5 \times 4[/tex]

Cancellation '4' on left side we get

x = -20

conclusion:-

The solution of given equation x = -20

Answer:

745.31

Step-by-step explanation:

20x25=500

(2(12.5)pie)/2=245.435

245.435+500=745.31

The equation of the line will be (assuming the y-intercept equal to zero):

y = 2.5*x

We know that we have a linear equation of the form:

y = a*x + b

Such that we know that the line passes through (-3, -7.5), notice that the proposed equation is:

y = 0.5*x

If you evaluate that in -3, you get:

y = 0.5*-3 = -1.5

So this line does not pass through (-3, -7.5).

If we assume that b = 0 in the linear equation, then we can find the value of a as:

-7.5  =  a*-3

a = 7.5/3 = 2.5

Then the linear equation is:

y = 2.5*x

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Answer: B) 16 cubic meters

Step-by-step explanation:

To find the volume of a rectangular prism like this sandbox, multiply the length, height, and width together. 2*2*4 = 16.

Answer:

the answer would be 16 cubic meter because l*w*t which is because l*w*t which is 4*2*2

Division is one of the four fundamental arithmetic operations. The number of hours Sadie worked to earn $146.25 is 13 hours.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given Sadie earns $11.25 per hour. Therefore, it can be concluded that her earnings vary varies directly with the number of hours she worked.

The number of hours she worked to earn $146.25 is,

The Number of hours = ($146.25)/($11.25) = 13 hours

Hence, the number of hours Sadie worked to earn $146.25 is 13 hours.

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Answer: A, B

Step-by-step explanation:

A and B are unique to parallel lines, C and D are not.

Answer:

21.5

Step-by-step explanation:

Median: List all numbers in order, then find the two in the middle and average them so 3 15 28 40 and then do 15+28=43 then divide by 2 = 21.5

Mean: Average all of them so 3+15+28+40=86 divided by 4 = 21.5

Answer:

See below ~

Step-by-step explanation:

Finding the x-intercepts :

Finding the vertex :

Answer:

x-intercepts:  x = 1 and x = -3

vertex:  (-1, -36)

Step-by-step explanation:

x-intercepts are when y = 0

⇒  9(x + 3)(x - 1) = 0

Divide both sides by 9:

⇒  (x + 3)(x - 1) = 0

Therefore:

⇒  (x + 3) = 0 ⇒ x = -3

⇒  (x - 1) = 0 ⇒ x = 1

Therefore the x-intercepts are x = 1 and x = -3

Vertex form:  [tex]y=a(x-h)^2+k[/tex]  where (h, k) is the vertex

Completing the square

[tex]\begin{aligned}y & =ax^2+bx+c\\& =a\left(x^2+\dfrac{b}{a}x\right)+c\\\\& =a\left(x^2+\dfrac{b}{a}x+\left(\dfrac{b}{2a}\right)^2\right)+c-a\left(\dfrac{b}{2a}\right)^2\\\\& =a\left(x-\left(-\dfrac{b}{2a}\right)\right)^2+c-\dfrac{b^2}{4a}\end{aligned}[/tex]

Therefore:

[tex]y=9(x+3)(x-1)[/tex]

[tex]\implies y=9x^2+18x-27[/tex]

Completing the square to rewrite the equation in vertex form:

[tex]\begin{aligned}y & =9x^2+18x-27\\& =9\left(x^2+\dfrac{18}{9}x\right)-27\\\\& =a\left(x^2+\dfrac{18}{9}x+\left(\dfrac{18}{2(9)}\right)^2\right)-27-9\left(\dfrac{18}{2(9)}\right)^2\\\\& =9\left(x-\left(-\dfrac{18}{2(9)}\right)\right)^2-27-\dfrac{18^2}{4(9)}\\\\& =9(x+1)^2-36\end{aligned}[/tex]

Therefore, the vertex is (-1, -36)

The volume of the model to the nearest cubic foot is 137 ft³

Volume of a sphere = 4/3πr³

Radius, r = diameter / 2

= 6.4 ft / 2

= 3.2 ft

Volume of a sphere = 4/3πr³

= 4/3 × 3.14 × 3.2³

= 4/3 × 3.14 × 32.768

= 411.56608 / 3

= 137.188693333333

Approximately,

Volume of the sphere = 137 ft³

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Answer:

The one on the top right

Step-by-step explanation:

first, look at the y-intercept:

two of the graphs (top-right and bottom-left) have the correct y-intercept of (0, -1).

(The y-intercept is 0 and then the last term of the equation in this form)

next, look at the slope:

slope is in the form of rise/run

the slope for this equation is 3, or 3/1

so look at the graphs, find the y-intercept point and go up three cells and over one.

Only one of the graph's lines goes through this point, and that is the top-left one