what is the square root of -1? O -i O i O -1 O 1

Answer:

[tex]5x - 30[/tex]

Step-by-step explanation:

We want to simplify

[tex]5(x - 6)[/tex]

We use the distributive property of real numbers which says that:

[tex]a(b + c) = ab + ac[/tex]

We apply the distributive property to get;

[tex]5(x - 6) = 5 \times x - 5 \times 6[/tex]

This implies that:

[tex]5(x - 6) = 5 x - 30[/tex]

Therefore the correct answer is 5x-30

Option D:

[tex](n+4)^{\frac{3}{5}}[/tex] is the equivalent expression for [tex]\sqrt[5]{(n+4)^{3}}[/tex].

Solution:

Given expression:

[tex]\sqrt[5]{(n+4)^{3}}[/tex]

To find the equivalent expression for the given expression.

[tex]\sqrt[5]{(n+4)^{3}}[/tex]

Using radical rule: [tex]$\sqrt[m]{a}=a^{\frac{1}{m}}[/tex]

      [tex]$=\left((n+4)^{3}\right)^{\frac{1}{5}}[/tex]

Using exponent rule: [tex]$\left(a^{b}\right)^{c}=a^{b c}[/tex]

      [tex]$=(n+4)^{3 \cdot \frac{1}{5}}[/tex]

      [tex]$=(n+4)^{\frac{3}{5}}[/tex]

[tex]\sqrt[5]{(n+4)^{3}}=(n+4)^{\frac{3}{5}}[/tex]

Hence [tex](n+4)^{\frac{3}{5}}[/tex] is the equivalent expression for [tex]\sqrt[5]{(n+4)^{3}}[/tex].

Option D is the correct answer.

Answer:

Part A = 90

Part B = 145

Step-by-step explanation:

For part A, we know that a triangle has a sum of 180 degrees. So we just add the angles we already know and then subtract them from 180. For part B, we know that angle ACB and angle ACD are supplementary angles, meaning they add up to 180 degrees. So just take 180 and subtract 35 to find the measure of angle ACD.

Answer:

1200

Step-by-step explanation:

1.2 * 1000

1200

Answer:  1200

Answer:

1200

Step-by-step explanation:

since they are 1.2 per 1000

= 1.2 * 1000

= 1200

Answer:

$40 ; $43.20

Step-by-step explanation:

a) 50 * (1 - .20) = 50 * .8 = 40

b) 50 * (1 - .20) * (1 + .08) = 43.20

c) The sales tax increases the price from a by 8%

Answer:

a)  40 dollars

b) 43.20 dollars

c)  In Part A the instructions tell you to find the 20% in the 50 dollars But in  part B  it tells you to solve the problem with the discount applied after the sales tax.

Step-by-step explanation:

Answer:A

Step-by-step explanation:

8 is the only equal number

Answer:

i believe its 8 :)

Answer:

14/45

Step-by-step explanation:

Answer:

Isosceles Triangle

Step-by-step explanation:

Since, sides of triangle measures 10 cm, 10 cm & 6 cm.

Therefore, two sides of triangle have equal measurement.

Hence, it is an ISOSCELES triangle.

Answer:

x = -29/11 , y = 5/11

Step-by-step explanation:

-x+3y=4 ,..........(1)

3x+2y=-7 ............(2)

Solve simultaneously using elimination method

Multiply equation 1 by 3

It gives

-3x + 9y = 12

3x + 2y = -7..........(2) , add both equations

--------------------------

11y = 5

Divide both sides by 11

y = 5/11

Put value of y into equation (2)

3x +2y = -7

3x + 2(5/11) = -7

3x + 10/11 = '-7

Subtract 10/11 from both sides

3x +10/11 - 10/11 = -7  - 10/11

3x = -87/11

Divide both sides by 3

3x/3 = -87/11 ÷ 3

x = - 87/11 × 1/3

x = -29/11

Therefore x = -29/11 , y = 5/11

I hope this was helpful, please mark as brainliest

Answer:

-77, -78, -79

Step-by-step explanation:

let one of the integers be x

since the integers are consecutive, the other 2 integers must be

(x+1) and (x+2)

given that sum of the integers is -234,

x + (x+1) + (x+2) = -234

x + x + 1 + x + 2 = -234

3x + 3 = -234   (subtract 3 from both sides)

3x = -234-3

3x = -237  (divide both sides by 3)

x = -237 / 3

x = -79  (answer)

hence the other two numbers are

(x + 1) = -79 + 1 = -78 (answer)

and

(x+2) = -79 + 2 = -77 (answer)

Answer:

Step-by-step explanation:

let the first integer is 'x', and by adding 1 in it we get the second integer that is 'x+1', and for third integer we need to add 1 in the previous integer i.e. is 'x+1' we get 'x+2'. Now all three integers we have are

x,x+1 and x+2.

since sum or add all three integer we get -234. so

x+x+1+x+2=-234

x+x+x=3x, and 1+2=3

3x+3=-234

3x=-234-3

3x=-237

x=-237/3

now the first integer is -237/3 or -79,

second integer is -78 and third integer is -77.

for verification add all three to get -234.

-79-78-77=-234. hence proved.

Problem setup:

The shape is way too complicated by itself, so I cut the shape into 5 different parts.

Please refer to the attached image or my answer will not make much sense.

Shape 1:

This is a triangle. The base is 3 and the height is 2. Thus, the area is:

[tex]A=\dfrac{1}{2}*3*2[/tex]

[tex]=3[/tex]

Shape 1 has an area of 3 square units.

Shape 2:

This shape is also a triangle. The base is 4 and the height is 2. Thus, the area is:

[tex]A=\dfrac{1}{2}*4*2[/tex]

[tex]=4[/tex]

Shape 2 has an area of 4 square units.

Shape 3:

This a unit square (the side lengths are 1).

Thus, Shape 3 has an area of 1 square unit.

Shape 4:

This shape is a rectangle. The base is 3 and the height is 4. Thus, the area is:

[tex]A=3*4[/tex]

[tex]=12[/tex]

Shape 4 has an area of 12 square units.

Shape 5:

This shape is also a rectangle. The base is 4 and the height is 2. Thus, the area is:

[tex]A=4*2[/tex]

[tex]=8[/tex]

Shape 5 has an area of 8 square units.

Total shape:

Add the areas of all 5 shapes to find the area of the shaded figure.

[tex]A=3+4+1+12+8[/tex]

[tex]=26[/tex]

The figure has a total area of 26 square units.

Side notes:

There is a way to solve this problem by only dividing this into only 3 different shapes, can you figure it out?

Let me know if you need a hint or any clarifications, thanks!

~ Padoru

Answer:

The difference is 3/4

Step-by-step explanation:

First, you look at the smallest and biggest amount. Then, you subtract! 4/4-1/4=3/4

The slope of the line that contains the points (1,-1) and (-2,8) is calculated using the change in y-values over the change in x-values, which results in a slope of -3.

To find the slope of the line that contains the points (1,-1) and (-2,8), we use the formula:

slope (m) = (Change in y) / (Change in x) = (y2 - y1) / (x2 - x1)

Substitute the given points into the formula:

m = (8 - (-1)) / (-2 - 1)
= (8 + 1) / (-2 - 1)
= 9 / (-3)
= -3

So, the slope of the line is -3.

Answer:$48.09 please give brainliest!

Step-by-step explanation: you need to turn the percent to decimal so you move the decimal points to places to the right so the percent now is 0.25 so then you do 38.47 *0.25 =9.62 so then you add 9.62 +38.47 =48.09

Answer:

$9.62

Step-by-step explanation:

total cost= $38.47

tip            = 25% = [tex]\frac{25}{100}[/tex]

=> tip       = [tex]\frac{25}{100}[/tex] * $38.47

               ≈ $9.62 (to the nearest cent)

NOTE: the question is solely asking for the tip, therefore, there is no need to add the tip to the total.

Hope this helps :)

Answer:

Volume of the cylinder = [tex]7686.72\,inches^3[/tex]

Step-by-step explanation:

Radius(r) of the cylinder= [tex]12\,inches[/tex]

Height(h) of the cylinder= [tex]17\,inches[/tex]

Volume of a cylinder is :

                   [tex]\pi \times r^2\times h[/tex]

As,

          [tex]\pi =\dfrac{22}{7}=3.14[/tex]

Volume is:  

            [tex]=3.14\times (12\times 12)\times 17\\\\=3.14\times 144 \times 17\\\\=3.14\times 2448\\\\=7686.72\,inches^3[/tex]

The volume of the cylinder is: [tex]7686.72\,inches^3[/tex]                    

Length of other two sides is 27:33

Option B

Step-by-step explanation:

Here we have , The sides of a triangle are in ratio 9:11:13.The largest side of a triangle like this is 39. Let's calculate other two sides of the second triangle:

[tex]9:11:13[/tex] is the ratio  ,largest ratio value is 13 which represents largest side ratio whose length is 39 :

⇒ [tex]13x = 39\\[/tex]

⇒ [tex]x = \frac{39}{13}\\[/tex]

⇒ [tex]x = 3[/tex]

Now, other two sides are 9 x and 11 x

i.e. [tex]9x = 9(3) = 27[/tex]

 [tex]11x = 11(3) = 33[/tex]

So, lengths of all the three sides are 27:33:39 . And, Length of other two sides is 27:33`

Answer:

7(60+3)

Step-by-step explanation:

The distributive property is a(b+c) = ab+ac

7 x 63 = (7x60) + (7x3) = 7(60+3)

So in distributive form it would be 7(60+3)

Answer:

7(1·9)

Hope this helps

Answer:

y=9

y=1

y= -7

y= -15

Step-by-step explanation:

You have to use the number in the x colum and fill in itnot te equation

y= -4x+1

Start with the first number, -2

y= -4(-2)+1          multiply -4 and -2 because of PEMDAS

y=8+1                         simplify

y=9

Now do the next number, 0

y= -4(0)+1        Multiple -4 and 0  because of PEMDAS (Anything times 0 is 0)

y=1

Now do the next number, 2

y= -4(2) + 1      Multiply -4 and 2 because of PEMDAS

y= -8 + 1       Simplify

y=-7

Now do the next number, 4

y= -4(4) +1         Multiply -4 and 4 because of Pemdas

y = -16 +1

y= -15

Factors of 12 : 1, 2, 3, 4, 6, 12

Factors of 20: 1, 2, 4, 5, 10, 20

In both lists of factors, 4 is in common. Therefore, the value of K is 4 because it can divide into both 12 and 20 without a remainder. 2 is also another possible value of K.

Answer:

4

Step-by-step explanation:

1*12=12   1*20=20

2*6=12   2*10=20

3*4=12   4*5=20

both have a similar multiple of 4, so k must be 4.

Answer:

8

Step-by-step explanation:

-11/2x + 3 -2(-11/4x -5/2)

-11/2x + 3 + 11/2x + 5        use the distributive property

-11/2x  + 11/2x + 8        combine 3 and 5

8          subtract the x

the answer is 8

Hey there!

Let's make a system of equations using x and y to find the two numbers.X is smaller and y will be larger.

x+y=98

y-4x=18

Now, let's solve the bottom equation for y so we can use substitution.

y=18+4x

Now we plug this into the first equation.

x+18+4x=98

5x+18=98

5x=80

x=16

Now, we plug this into the first equation to find y.

y=82.

So, the larger number is 82 and the smaller number is 16.

I hope this helps! Have a great day!

To round 721295.198715 to the nearest ten, we increase the tens place from 9 to 0 due to the ones place being 5, resulting in 721300.

To round the number 721295.198715 to the nearest ten, we should look at the digit in the ones place, which is 5. Since the ones digit is 5 or greater, we need to round up the tens place.

Therefore, the tens digit increases by one from 9 to 0, and all digits to the right of the tens place become zero.

Thus, 721295 rounds up to 721300 when rounded to the nearest ten.

Note that we ignore the decimal and its subsequent numbers because they do not influence the rounding of a number to the nearest ten.

Answer:

180°

Step-by-step explanation:

Answer:180

Step-by-step explanation:

Answer:

2(s+10r)

Step-by-step explanation:

Answer:

[tex]y = - {(x - 4)}^{2} - 2[/tex]

[tex]y = - {(x + 4)}^{2} - 2[/tex]

Step-by-step explanation:

The vertex form of a parabola is given as

[tex]y = a {(x - h)}^{2} + k[/tex]

If this parabola opens downward, then a<0.

This means for a function opening downward not to have a solution, the k value must also be negative and taking a square root of a negative number will not give real solution.

From the given options, examples of such functions are:

[tex]y = - {(x + 4)}^{2} - 2[/tex]

and

[tex]y = - {(x - 4)}^{2} - 2[/tex]

Answer:it’s y>=-(x+4)^2-2

Step-by-step explanation:

I checked it in my graphing calculator and it works. I’m also doing the program sooo

Step-by-step explanation:

Final answer:

The positive solution to the equation 2x² + 25 = 73 is x = √24, which is approximately 4.9.

Explanation:

The student is asking for the positive solution to the equation 2x² + 25 = 73. To solve this, we first isolate the quadratic term by subtracting 25 from both sides of the equation, resulting in 2x² = 48. Then, we divide both sides by 2, simplifying to x² = 24. Taking the square root of both sides gives us two solutions, x = √24 and x = -√24. Since we're seeking the positive solution, we take the positive square root, which yields x = √24 or about 4.9.

The range of a set of values is the lowest and highest number of that data set.

First, lets put the numbers from least to greatest.

138, 142, 155, 165, 172, 193

Second, find the lowest and greatest number in the data set.

138 is the lowest and 193 is the highest number in the data set.

Therefore, 138 and 193 is the range.

Best of Luck!