I need help with 14 and 15

Answer:

[tex]{ \sf{ \sqrt{r} = \sqrt{(x {}^{2} + {y}^{2} ) } }}[/tex]

Step-by-step explanation:

General equation:

[tex]{ \bf{ {x}^{2} + {y}^{2} + 2ax + 2by + c = 0}} \\ [/tex]

but a and b are 0:

[tex]{ \bf{ {x}^{2} + {y}^{2} = {r}^{2} }} \\ { \bf{ \sqrt{ {x}^{2} + {y}^{2} } = \sqrt{r} }}[/tex]

Answer:

15x-16

Step-by-step explanation:

3(5x-2)+(-18+8)

3(5x-2)-10

15x-6-10

15x+(-6-10)

15x-16

Answer:

The median of the data set that you've provided, is 13,350.

Explanation:

13350 is the middle number from the set after writing the set in ascending order. you have 5 numbers on the left of 13350 and 5 on the right, 13350 is the middle one thus it's the median.

After Arranging it in Ascending order

The total number of items is 11

The middle one is 13,350

Therefore the range is 13,350

Must click thanks and mark brainliest

Answer:

Hello,

Step-by-step explanation:

all potential roots are of the form a/b where a is a divisor of 8

and b is a divisor of 6 ( in Z)

So A,D,E,F may be roots

but B and C not.

Answer:

11

Step-by-step explanation:

3 (x + 5) = 5x - 7

3x + 15 = 5x - 7

3x - 5x = -7 -15

-2x = - 22

x = 11

Answer:

B847,030

Step-by-step explanation:

y=95,000(1.2)^x

2025 - 2013 = 12

y=95,000(1.2)^12

y=847029.54258

72

7(5 + 3) + 2ˆ4

P ()

E ^

M *

D /

A +

S -

7(8) + 16

= 72

Hey there!

7(5 + 3) + 2^4

5 + 3 = 8

= 7(8) + 2^4

2^4

= 2 * 2 * 2 * 2

= 4 * 4

= 16

= 7(8) + 16

7(8) = 56

= 56 + 16

= 72

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

scale facor is 1/3

Step-by-step explanation:

Answer:

12 hours

Step-by-step explanation:

For Ravi,

12 hours = 1 job

Given this, we can figure out how much Ravi does in 6 hours, and from that, we can figure out how much Raman can do in 6 hours. Finally, we can use that to figure out how many hours it would take for Raman to do the job.

12 hours = 1 job

First, to find how much Ravi does in 6 hours, we need to make the equation

6 hours = something

To do this, we know that 12/2 = 6, so we can divide both sides by 2 in the original equation to get

6 hours = 1/2 job.

Therefore, in 6 hours, Ravi does 1/2 of the job. As Raman and Ravi do the job in 6 hours, Raman must do the remaining work, or 1-1/2 = 1/2 of the job in 6 hours.

Therefore, for Raman,

6 hours = 1/2 job

We need to make the equation so that

1 job = something, as that something would be how many hours it would take for Raman to do the job. We know that 1/2 * 2 = 1, so we can multiply both sides by 2 to get

12 hours = 1 job for Raman.

Answer:

9.

3 ( 1 - 3x ) = 2 (-4x + 7)

3 - 9x = -8x +14

-9x +8x  = 14 - 3

-x = 11

x = -11

10.

-10 + x + 4 - 5 = 7x - 5

-10 +x -1 = 7x - 5

-11 + x = 7x - 5

-11 + 5 = 7x -x

-6 = 6x

x = -6/6

x = -1

11.

-8n + 4 ( 1 + 5n ) = -6n -14

-8n + 4 + 20n = -6n -14

12n +4 = -6n -14

12n  + 6n = -14 -4

18n = -18

n = -18/18

n = -1

12.

-6n - 20 = -2n + 4 ( 1 - 3n)

-6n - 20 = -2n + 4 - 12n

-6n - 20 = -14n +4

-20 -4 = -14n +6n

-24 = 8n

n = -24/8

n = -3

13.

4n - 40 = 7 (-2n +2)

4n - 40 =  -14n + 14

4n +14n = 14 +40

18n = 54

n = 54 / 18

n = 3

14.

7(5a - 4) -1 = 14 - 8a

35a -28 -1 =  14 - 8a

35a -29 = 14 - 8a

35a +8a = 14 +29

43a = 43

a = 43/43

a = 1

15.

-31 - 4x = -5 - 5 ( 1 + 5x)

-31 - 4x = -5  -5 - 25x

-31 - 4x = -10 -25x

-4x +25x = -10 +31

21x = 21

x = 21/21

x = 1

16.

38 +7k = 8 (k +4)

38 +7k = 8k + 32

38 - 32 = 8k -7k

k = 6

Answer:

Step-by-step explanation:

Answer

answer bellow

Step-by-step explanation:

24, C

25, D

26, B

27, A

Answer:

...

26a)729

b)2,457.6

c)3,500

d)8,100

e) 89,600

Step-by-step explanation:

just multiply first and divide with upper number to the lower

Step-by-step explanation:

[tex] \frac{dy}{dx} = \frac{1}{ {(6 - 3x)}^{4} } \times {4(6 - 3x)}^{3} ( - 3) \\ = \frac{ - 12 {(6 - 3x)}^{3} }{ {(6 - 3x)}^{4} } \\ = - \frac{12}{6 - 3x} [/tex]

I hope I'm correct. I've never learnt differentiation for log and exponents before

Answer:

Ok so 5 and tens least common denominator is 10. So 6/10- 2/10 (1/5×2=2/10)= 4/10. so now take 4/10 and 1/4 and find the lcm Which is 20 so 4/10×2 is 8/20+10/20=

18/20

[tex]\\ \sf\longmapsto \dfrac{6}{10}-\dfrac{1}{5}+\dfrac{1}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2-4+5}{20}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-2+5}{20}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{20}[/tex]

Answer:                                                      __

Yes I think so because 1.55555... is just 1.55. And that is rational so I would assume this is rational

Answer:

[tex]3b(a^{3} - 18)[/tex]

Step-by-step explanation:

[tex]3a^{2}b-54b[/tex]  => [tex]3b(a^{3} - 18)[/tex]

Answer:

Step-by-step explanation:

[tex]\Large \boldsymbol{} 3a^3\underline b-54\underline b=b(3a^3-54)=\boxed{3b(a^3-18)}[/tex]

Answer:

16cm

Step-by-step explanation:

Given

[tex]Area = 21cm^2[/tex]

[tex]Perimeter = 20cm[/tex]

[tex]n=4[/tex] --- rectangles

Required

The perimeter of square in the middle

The area of a rectangle is:

[tex]Area = L * W[/tex]

So, we have:

[tex]L * W =21[/tex]

The perimeter is:

[tex]P = 2*(L + W)[/tex]

So, we have:

[tex]2*(L + W) = 20[/tex]

Divide by 2

[tex]L + W = 10[/tex]

Make L the subject

[tex]L = 10 - W[/tex]

Substitute [tex]L = 10 - W[/tex] in [tex]L * W =21[/tex]

[tex](10 - W) * W = 21[/tex]

Open bracket

[tex]10W - W^2 = 21[/tex]

Rewrite as:

[tex]W^2 -10W +21 = 0[/tex]

Expand

[tex]W^2 -3W - 7W + 21 = 0[/tex]

Factorize

[tex]W(W - 3) - 7(W - 3) = 0[/tex]

Factor out W - 3

[tex](W - 7)(W - 3) = 0[/tex]

Solve for 7

[tex]W = 7\ W = 3[/tex]

We have:

[tex]L = 10 - W[/tex]

This means that:

[tex]W = 7\ W = 3[/tex]

[tex]L = 3,\ L = 7[/tex]

The length (l) of the square is:

[tex]l = |W - L|[/tex] ---- the difference between the dimension of the rectangle

[tex]l = |7 - 3|[/tex]

[tex]l = |4|[/tex]

[tex]l = 4[/tex]

The perimeter is:

[tex]P = 4l[/tex]

[tex]P = 4*4[/tex]

[tex]P =16[/tex]

Answer:

5 minutes

Step-by-step explanation:

5 * $0.99 = $4.95

Answer:

point B

Step-by-step explanation:

The y- intercept is the point where the graph crosses the y axis

Step-by-step explanation:

[tex]15)2n \\ 16)1 \times {10}^{7} \\ 17) {m}^{5} \\ 18)xy \\ 19)5 {n}^{2} - 6 \\ = - 6 \\ 20)9 {a}^{ 3} + 1 \\ = \frac{d}{da} (9a {}^{ 3} + 1) \\ 21) {x}^{3} . {y}^{3} \\ = (x.y) {}^{3} \\ = {x}^{3} {y}^{3} \\ 22)c {}^{4} .d {}^{6} \\ = {c}^{4} {d}^{6} \\ 23)3e + {e}^{2} \\ = e(e + 3) \\ \\ \\ hope \: it \: is \: help \: to \: you[/tex]

15 2 times n

16 10 race to the power 7

17 m race to the power 5

18 x times y

19 6 subtracted from 5 times n race to the power 2

20 1 added to 9 times a race to the power 3

21 x race to the power 3 times y race to the power 2

22 c race to the power 4 times d race to the power 6

23 3 times e added to 2 times e race to the power 2

Must click thanks and mark brainliest

Answer:

An integer is any rational number without a decimal or fraction. This includes negative numbers, and 0. But decimals and fractions are not integers.

Step-by-step explanation:

Brainliest, please!

Answer:

[tex]\frac{dy}{dx}[/tex] = 2x + 3

Step-by-step explanation:

Differentiate each term using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

y = x² + 3x

[tex]\frac{dy}{dx}[/tex] = 2[tex]x^{(2-1)}[/tex] + 3[tex]x^{(1-1)}[/tex]

   =  2x + 3[tex]x^{0}[/tex]

   = 2x + 3