Find the slope of this line

Answer: [tex]x=3.0206[/tex]

Step-by-step explanation:

Given

[tex]3(2^{2x}+3)-5(2^x+2)-156=0[/tex]

Replace [tex]2^x[/tex] by [tex]y[/tex]

We can write

[tex]\Rightarrow 3(y^2+3)-5(y+2)-156=0\\\Rightarrow 3y^2+9-5y-10-156=0\\\Rightarrow 3y^2-5y-157=0\\\\\Rightarrow y=\dfrac{5\pm \sqrt{25-4(3)(-157)}}{2\times 3}\\\\\Rightarrow y=\dfrac{5+43.69}{6}\\\\\Rightarrow y=8.115\\\Rightarrow 2^x=8.115\\\therefore \quad x=3.0206[/tex]

Answer:

Decimal form = 1.44

Fraction form = 144/100

Hope this helps!

Answer:

Step-by-step explanation:

6x-10=20

6x=20+10

x=30/6

x=5

to prove 6x-10=30

substitute the value of x

6x-10

6*5-10

30-10

20

20=20  hence proved.

Answer:

6

Step-by-step explanation:

First side times hight or 3x4=12

12 is a whole square, but this is a triangle (Half of a square)

So we divide by 2 to find the area. 12/2=6

6

Answer:

Area=6

Step-by-step explanation:

Since the measurements of this right angle is 3 and 4 you have to multiply them together to get 12 but then you must divide that answer by 2 making the answer 6

Answer:

x=50°

use the sine rule to find the missing angle "x"

Answer:

1) 2 days

2) 11 days

3) may 16

5) 5 days

6) may 29th

Step-by-step explanation:

if someone can, check out my recent questions too please

Answer:

32 cartons

Step-by-step explanation:

Total sets needed

48 + 43 + 46 + 50 = 187

Cartons needed

187 / 6 = 31 1/6

need 32 cartons

Answer:

32 cartons

Step-by-step explanation:

add up all of the students = 187

divide by 6 = 187/6 = 31.16

round = 32 cartons

Answer:

40.78 rupees per liter

Step-by-step explanation:

Given data

The average cost of milk in the US today is $3.12 per gallon

1$= 155.00 rupees

1 gallon=3.8 liters

Hence the average cost in pakistani rupees will be

=155/3.8

=40.78 rupees per liter

Answer:

37.9%

Step-by-step explanation:

percentage that flew away = number that flew away /total number of birds x 100

number that flew away  = 29 - 18 = 11

9/29 x 100 = 37.9%

Answer:

48°

Step-by-step explanation:

33+ 99= 132

180 is the sum of all angles so u would subtract 132 from 180 giving you the answer

Answer:

If x is the last angle of a triangle, x=48. is its a just angles its, x=228.

Step-by-step explanation:

If it's a triangle its because triangle sum theorem states that all angles in a triangle add up to 180 degrees. So add the angles you know an subtract it from 180.

If it's just angels then you just need to again, add the angles you know but this time subtract it from 360 as that's he most degrees an angle can go.

Answer:

D

Step-by-step explanation:

there are 9 digits.

and round it off to the nearest hundred million which is 3.

There are 8 digits before the 3... so 10 gets to the power of 8.___ 10⁸

3,0×10⁸ m.s^-1

Answer:

no

if you Let 3x be the number of boys

Let 2x be the number of girls

3x + 2x = 24

5x = 24

x = 4.8

3(4.8) = 14.4 boys

2(4.8) = 9.6 girls

There can't be 24 students for a ratio of 3 boys and 2 girls, because there can't be 14.4 boys and 9.6 girls, it has to be an exact number, otherwise it wouldn't make any sense

Answer:

X=4

Hope this helped some.

Answer:

4=X

Step-by-step explanation:

6X-8=4X

-8=-2X

-8/-2= 4X

Answer

5 miles

Step-by-step explanation:

If he rides his bike one mile each day school to home each day its going to be 1 mile per day so if its 5 days it is 5 miles

Answer:

7w^3/5v

Step-by-step explanation:

42v^3w^4/30v^4w

42 = 6 * 7

30 = 6*5 , factor

6*7v^3w^4/6*5v^4w

6 is common, cancel

7v^3w^4/5v^4w

simplify w^4/w = w^3

v^3/v^4 = 1/v

therefore, 7w^3/5v is the answer

Answer:

Undefined

Step-by-step explanation:

you can't divide by 0

(-2-0)/(2-2)

Divide to get 70.5

turn into fraction

70 5/10=

70 1/2

Answer:

70 1/2

Step-by-step explanation:

first you have to divide 423 into 6 and then the remainder is the fraction so the answer is 70 5/10 or 70 1/2, same thing

Answer:

the answer is 4th option

Answer:

5/18 0r 27.77%

Step-by-step explanation:

I am assuming both are six-sided and have numbers 1-6 on each of the six sides. There are 36 possible roll combinations. Of the 36, four result in 9 and six result in 7. Therefore there is a 10/36 chance of rolling a 7 or a 9. That can be simplified however by dividing by two on both numbers. That equals 5/18. As a percent you would divide 5 by 18 and get 0.2777. After that you multiply 0.2777 by 100 to get 27.77%.

Answer:

Step-by-step explanation:

Formula for total surface area of of the triangular prism is:

Total Surface area (S) = Ph+ 2B

P = Perimeter of the triangular base

P = 6 + 8 + 10

P = 24 cm

h = height of the prism = 10 cm

B = area of the base

B = ½*bh = ½*8*6

B = 24 cm

S = 24*10 + 2(24)

S = 240 + 48

S = 288 cm²

Total surface area = 288 cm²

What are the following algebraic equations? You need to post those if you want the answer.

Answer:

20

Step-by-step explanation:

Do 15 divided by 0.75

Answer:

x=18

Step-by-step explanation:

Both angles are supplementary angles and form 180

Set your formula up as following

(x-6) + (8x+24) = 180

x+8x-6+24=180

9x=180+6-24

9x=162

x=162/9

x=18

Now substitute 18 for x to get your angles and check your work .

Answer:

Step-by-step explanation:

let duke be x years

dora be 7+x years

and emeka be 3(7+x) years

according to question ur equation is

3(7+x)+7+x+x=38

21+3x+7+2x=38

28+5x=38

5x=38-28

x=10/5

x=2

Answer:

Step-by-step explanation:

3(7+x)+7+x+x=38

21+3x+7+2x=38

28+5x=38

5x=38-28=10

D.b.s by 5

10÷5=2

Answer:

59cm^2

Step-by-step explanation:

first you can do 8x9 to get 72 then you can subtract 4x2 from 72 to get 64 and lastly you have to subtract 4 from 9 to get the area of the small rectangle on the left so you get 5 and then you have to get the width which is 4+3 from the top and subtract that from 8 on the bottom which is 1 so now you have 5x1 which is 5 and subtract that from 64 to get 59cm^2

hope this helps

Answer:

x = 10% saline solution = 190 mililiters

y = 60% saline solution = 10 mililiters

Step-by-step explanation:

Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use

Let

x = 10% saline solution

y = 60% saline solution

x + y = 200

x = 200 - y

10% × x + 60% × y = 200 × 12.5 %

Hence:.0.1x + 0.6y = 25

Substituting 200 - y for x

0.1(200 - y) + 0.6y = 25

20 - 0.1y + 0.6y = 25

- 0.1y + 0.6y = 25 - 20

0.5y = 5

y = 5/0.5

y = 10 milliliters

Solving for x

x = 200 - y

x = 200 - 10

x = 190 mililiters