solving quadratic equation using the completing the square (a).
9k²+5k=2​

Answer:

[tex]3\sqrt{5}i[/tex]

Step-by-step explanation:

[tex]\sqrt{-45}[/tex]

[tex]\sqrt{-9*5}[/tex]

[tex]\sqrt{-9}\sqrt{5}[/tex]

[tex]3i\sqrt{5}[/tex]

[tex]3\sqrt{5}i[/tex]

Answer:

The answer is 4.

Step-by-step explanation:

Edge 2021

Answer:

4

Step-by-step explanation:

EDGE2021

Answer:

The correct answer is -

1. B. stratified sampling

2. C. Systematic Sampling

3. A. Cluster Sampling

4. E. Simple Random Sampling

5. D. Convenience Sampling

Explanation:

Stratified sampling is a method in which samples have collected from a population that can be partitioned into subpopulations, categories or strata.

Systematic sampling is the method in which samples are at low risk of manipulation due to the getting samples ordered sampling range or frame.

Cluster sampling is the sampling that has random clusters of samples and data collected from selected clusters.

In a simple random sampling method, there are equal chances to get selected from a population in the sampling method.

Convenience Sampling is the sampling there is a selection of the data as these samples are convenient to collected and selected.

Answer:

$5850 is the answer

Step-by-step explanation:

P = $3000

R = 9.5%

T = 10 year

A = ?

So,

I = PTR/100

=(3000×9.5×10)/100

=285000/100

= $2850

So,

I = A-P

I+P = A

$2850 + $3000 = A

so, A = $5850

...........................................................................................................................................................................................................................................................................................................................................................................

[tex]-6h^{2}+5h+2=0\\h^{2} -\frac{5}{6} h-\frac{1}{3} =0\\h^{2} -\frac{5}{6} h+(\frac{5}{12} )^{2} -(\frac{5}{12} )^{2}-\frac{1}{3} =0\\(h-\frac{5}{12} )^{2} =\frac{1}{3} +(\frac{5}{12} )^{2}\\(h-\frac{5}{12} )^{2} =\frac{73}{144} \\[/tex]

[tex]h-\frac{5}{12} = \sqrt{\frac{73}{144}} \\h=\sqrt{\frac{73}{144}} +\frac{5}{12}[/tex]

or

[tex]h-\frac{5}{12} = -\sqrt{\frac{73}{144}} \\h=-\sqrt{\frac{73}{144}} +\frac{5}{12}[/tex]

The exponential form is 7³, expanded form is 7*7*7 and Standard form is 343.

The exponential form seven is cubed, the base is 7 and the exponent is 3, exponential form is 7³, expanded form we have to multiply 3 times the number 7 by itself. That is 7*7*7 and standard form is the result of the calculations. 7*7*7 = 49*7 = 343.

Therefore, seven cubed in all three forms: exponential, expanded and standard form are 7³, 7*7*7 and 343.

Learn more about  exponential, expanded and standard form here:

https://brainly.com/question/21080914

#SPJ6

Answer:

The height of the antenna is 7.0 m

Step-by-step explanation:

Let the height of the antenna be represented by x, and the distance from Avani's eyes to the top of the building A by y. And let z = x + y, so that:

Tan 42 = [tex]\frac{y}{21}[/tex]

y = Tan 42 x 21

  = 0.9004 x 21

  = 18.9084

y = 18.91 m

Also,

Tan 51 = [tex]\frac{z}{21}[/tex]

z = Tan 51 x 21

  = 1.2349 x 21

  = 25.9329

z = 25.93 m

Therefore,

x = z - y

  = 25.93 - 18.91

  = 7.02

x = 7.02 m

The height of the antenna is 7.0 m

Let a (n) denote the n-th term in the progression. Consecutive terms in the sequence differ by a fixed constant - call it c - such that

a (n) = a (n - 1) + c

Let a = a (1) be the first term in the sequence. We can solve for a (n) in terms of a alone:

a (n) = a (n - 1) + c

a (n) = (a (n - 2) + c) + c = a (n - 2) + 2c

a (n) = (a (n - 3) + c) + c = a (n - 3) + 3c

and so on, down to

a (n) = a + (n - 1) c

The sum of the first n terms is then

[tex]\displaystyle\sum_{k=1}^n a(k)=\sum_{k=1}^n(a+(k-1)c)=a\sum_{k=1}^n1+c\sum_{k=1}^n(k-1)=an+\frac{cn(n-1)}2=\frac c2n^2+\left(a-\frac c2\right)n[/tex]

Since this is equal to 3n ^2 + 5n, it follows that

c/2 = 3   =>   c = 6

a - c/2 = 5   =>   a = 8

So the sequence is

a (n) = 8 + (n - 1) 6 = 6n + 2

Answer:

Yes, 0 is a rational number.

Step-by-step explanation:

Since we know, a rational number can be expressed as p/q, where p and q are integers and q is not equal to 0. Thus, we can express 0 as p/q, where p is equal to zero and q is an integer.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

7 a)

Step 1 :

Make the denominators the same

           [tex]-\frac{1}{7} \ and \ \frac{2}{9}[/tex]

[tex]-\frac{1}{7} \times \frac{9}{9} = -\frac{9}{63}\\\\\frac{2}{9} \times \frac{7}{7} = \frac{14}{63}\\[/tex]

Step 2 :

Now find rational between (-9/63) and (14/63).

Just change the number in the numerator. Write any numbers between -9 and 14 in the numerator.

                            [tex]\frac{ -8}{63}, \ \frac{-7}{63},\ \frac{3}{63},\ \frac{6}{63},\ \frac{8}{63}[/tex]

7 b )

       [tex]x = 3 + 2\sqrt2\\\\x + \frac{1}{x} = (3 + 2\sqrt2) + \frac{1}{3+2\sqrt2}[/tex]

[tex][ Rationalize \ the \ denominator : \frac{1}{3 + \sqrt2} \times \frac{3 - 2\sqrt2}{3-2\sqrt 2} = \frac{3 - 2 \sqrt2}{3^2 - (2 \sqrt2)^2 } = \frac{3 - 2\sqrt2}{9 - 8} = 3 - 2\sqrt 2 \ ][/tex]

       [tex]therefore , x + \frac{1}{x} = 3 + 2\sqrt 2 + 3 - 2 \sqrt 2 = 6 + 0 = 6[/tex]

Answer:

[tex]sin \theta = \frac{3}{5}[/tex]

Step-by-step explanation:

[tex]cos \theta = \frac{12}{15}\\\\cos^2 \theta = 1 - sin^2 \theta\\\\sin^2\theta = 1 - cos^2 \theta\\\\[/tex]

       [tex]= 1 - (\frac{12}{15})^2\\\\= 1 - \frac{144}{225}\\\\= \frac{225 - 144}{225}\\\\=\frac{81}{225}[/tex]

[tex]sin \theta = \sqrt{\frac{81}{225}} = \frac{9}{15} = \frac{3}{5}[/tex]

Answer:9/15

Step-by-step explanation:

Answer:

here

https://decabonner.weebly.com/uploads/1/6/4/8/1648294/day_1_-_practice_wksht_-_basic_probability_key.pdf

9514 1404 393

Answer:

  {-12, -8, 0, 8}

Step-by-step explanation:

The range is the set of y-values that correspond to the given set of x-values. I like to figure them "all at once", since the math is repetitive.

  f(x) = -2x +6

  f({-1, 3, 7, 9}) = -2{-1, 3, 7, 9} +6 = {2, -6, -14, -18} +6

  f({-1, 3, 7, 9}) = {8, 0, -8, -12}

The range for the given domain is {-12, -8, 0, 8}.

Answer:

3n-18

Step-by-step explanation:

let n be the number

n

3 times a number

3n

decreased by is subtraction

3n-18

Answer:

see below

Step-by-step explanation:   6  13  8  09

area = π r²    is the equation to calculate the area of the pool   r = radius

I don't no if the 1.11 ft is the diameter of the radius, so I will use the 1.11 ft as the diameter

diameter = 2×radius

diameter / 2 = radius

area = π (d/2)²   = T (d/2)²              d = diameter      π  = T      

        = 3.14(1.11 / 2)²              

        = 3.14 × (0.555)²

        = 0.9677 ft²    which seems like a small pool!

Answer:

$0.37 and $0.31

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

f(x)=2•3x

f(x)=6x+0

Answer:

220 yards in one minute

Step-by-step explanation:

15 miles in 120 minutes equals 26,400 (15 · 1760) yards in 120 minutes

26,400 yards in 120 minutes equals 220 yards in 1 minute (after dividing both 26400 and 120 by 120)

Answer:

220

Step-by-step explanation:

The first guy explained it, look above. I was about to say something similair

Answer:

17mm

Step-by-step explanation:

careful ! the question is about a sandwich !

a sandwich has 2 layers of bread (top and bottom), and then the filling in between.

so, the total thickness of that sandwich is then 2 layers of bread and one layer of filling.

thickness = 2×6 + 5 = 12 + 5 = 17mm

Answer:

340

Step-by-step explanation:

To find the cost of 4 liters of juices, take the cost of 1 liter and multiply by 4

4 *85 = 340

Answer: It's $340

Step-by-step explanation:

4 liters of juice - 3 liters = 1 liter

Multiply 1 liter by 4 = 340 (4 x 85)

Answer: $340

Answer:

135 cm

Step-by-step explanation:

Let Jose's height = x

The mean of their heights = 150

Given the Heights:

150cm, 170cm, 140cm, 155cm

The mean is the sum if the heights divided by the number of people

Here :

(150 + 170 + 140 + 155 + x) / 5 = 150

(615 + x) / 5 = 150

615 + x = 750

x = 750 - 615

x = 135 cm

Answer:

[tex]y=4x-16[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y=4x-6[/tex]

4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into [tex]y=mx+b[/tex]:

[tex]y=4x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=4x+b[/tex]

Plug in the given point (6,8) and solve for b

[tex]8=4(6)+b\\8=24+b[/tex]

Subtract 24 from both sides to isolate b

[tex]8-24=24+b-24\\-16=b[/tex]

Therefore, the y-intercept of the line is -16. Plug this back into [tex]y=4x+b[/tex]:

[tex]y=4x-16[/tex]

I hope this helps!

Answer:

y=4x−16

Step-by-step explanation:

Because we want a parallel line to the given one, we know it needs to have the same slope. Therefore, the new line must be y=4x+b for some b. Knowing that the line goes through the point (6,8), we can plug this in and solve for b:

y=4x+b

8=4(6)=b

b=-16

So the equation of the line is y=4x−16.

Answer:

Step-by-step explanation:

Bấm máy tính hệ phương trình là ra

Answer:

-37.8

Step-by-step explanation:

Answer:-37.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

V = L * W * H

L = 4

W = 3

H = 2

V = 4 * 3 * 2

V = 24

Density = mass / Volume

density = 11.34

volume = 24

mass = ?

11.34 = mass / 24                   Multiply both sides by 24

11.34 * 24 = 24 * mass /24

mass = 272.16 grams

Answer:

x= 3

Step-by-step explanation

Answer:

the answer is x = 3, but i gave you the explanation to figure it out on your own.

Step-by-step explanation:

x = 3

27 + 5/8 = 32