[tex]\sf Solve\; it \;with \;steps:-[/tex]
[tex]\bf 5\left(2x+1\right)=6x+13[/tex]


~ Enjoy the things!

Answer:

x ≈ 10.7

Step-by-step explanation:

Is given in the picture that x is the radius of the circle.

The radius of a circle and the tangent line to the circle form a right angle, therefore our triangle is a right triangle.

We can  apply the Pythagorean Theorem to find one equation that will have one unknown x.

         (x+12)² = x² +20² , use that (a+b)² = a²+b²+2ab

x²+12²+2·x·12 = x² +20², subtract x² from both sides of the equation

     12² + 24x  = 20², subtract 12² from both sides of the equation

              24x = 20²-12², raise to power and combine like terms

              24x = 256, divide by 24  both sides of the equation

                  x = 10.6666666..., round to the nearest tenth

                 x ≈ 10.7

Answer:

V ≈ 523.6in³

Step-by-step explanation:

Using the second sphere volume equation results in:

4/3 x 3.14159 x 53 = 4.1866 x 125 = 523.6in3

Answer:

[tex]g(2)=11[/tex]

Step-by-step explanation:

[tex]g(2)=5(2)+1=10+1=11[/tex]

Answer:

15 feet

Step-by-step explanation:

From the question above,we are asked to find the volume of a cabinet with the following dimensions:

Height is five feet

Width is eighteen inches

And a depth of two feet.

Here it is quite obvious that we ate dealing with a cuboidal object since its dimensions differ from one another.

So volume of a cuboid as we all know is :

Length multiplied by width and then height

We should head straight away to the calculations, but we need to remember that the width is in inches and needs to be converted to feet

1 inch = 1/12 feet

18 inches = 18× 1/12

= 1.5 feet

L×W×H

= 1.5×5×2

= 15 feet

Answer:

B

Step-by-step explanation:

[tex]\sqrt[4]{2x^2} *\sqrt[4]{2x^3} =(2x^2)^{1/4}*(2x^3)^{1/4}\\= 2^{1/4}*(x^2)^{1/4} *2^{1/4} * (x^3)^{1/4}\\[/tex]

combine like terms

[tex]= 2^{2/4} *x^{2/4}*x^{3/4}\\= 2^{2/4} * x^{5/4}[/tex]

these steps use exponent laws

a few key ones i used:

(x^y^z) = x^(y*z)

x^y * x^z = x^(y+z)

let me know if you have any questions!

Answer:

I think it's number 5 or (5,8)

Step-by-step explanation:

Based on the above information, it can be inferred that Sarah saves $6,900 per year.

Taking into account that her new employer is going to give her a free health service and that before she paid $575 for the health service monthly, to calculate her savings per year we must multiply the value of the health service by the number of months of one year (12).

Based on the above, it can be inferred that Sarah is saving $6,900 per year on health care.

Note: This question is incomplete because the is some information missing. The information is missing

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Answer:

1479 people

Step-by-step explanation:

If the amount employed is 8381, that means 8381 is 85% of the population. 8381/85 = 98.6

Every 1% of the population is 98.6, so we can just do 15 x 98.6 to get 1479

Answer:

9,860

Step-by-step explanation:

100% - 15% = 85 % = 85/100

85/100 * 8381/x

85x = 838,100

838,100/85 = 9,860

Answer: 6

Step-by-step explanation:

I assume you mean the equation

[tex]i^{2x+3} = i[/tex]

Since i = √(-1), we have i⁴ = 1 and so i⁵ = i. Then 2x + 3 must be some multiple of 5.

Now just check for which of the given choices that this holds:

x = 16   ⇒   2x + 3 = 35   (yes)

x = 11   ⇒   2x + 3 = 25   (yes)

x = 10   ⇒   2x + 3 = 23   (no)

x = 14   ⇒   2x + 3 = 31   (no)

answer: b and a cannot be points on the unit circle so there for the answer is b and a

option A and option D

hope it helps...!!!

Answer:

71 pages / day

Step-by-step explanation:

You are looking for pages per day so:

   497 pages / 7 days = 71 pages/day

Answer:

44 boots

Step-by-step explanation:

24/6=4

that means we have to multiply all the numbers by 4 as well

2*4=8

3*4=12

24+8+12=44

Answer:

See below

Step-by-step explanation:

x(x-2y)-(y-x)2  

Final result :

-y2

Step by step solution :

Step  1  :

Equation at the end of step  1  :

x • (x - 2y) -  (y - x)2

Step  2  :

2.1     Evaluate :  (y-x)2   =    y2-2xy+x2  

Final result :

-y2

Answer:

y=60x

Step-by-step explanation:

Let x be the number of minutes, y be the

number of seconds

4=60x

{Direct variation}

The trend line passes through (10, 9) and (35, 0) will be 9x + 25y = 315.

Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by

[tex]\rm (y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

The scatter plot with the trend line below shows the data comparing wind speed and wind chill. Wind Chill (˚F) Wind Speed (mph). The trend line passes through (10, 9) and (35, 0).

Write an equation for the trend line.

(x₁, y₁) → (10, 9)

(x₂, y₂) → (35, 0)

Then we have

        y - 9 = -9/25(x - 10)

25y - 225 = -9x + 90

 9x + 25y = 315

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Step-by-step explanation:

the general vertex form is

y = a(x - h)² + k

with (h, k) being the vertex of the curve.

after doing all the multiplications we get

y = a(x² - 2hx + h²) + k = ax² - 2ahx + ah² + k

now we have

y = x² + 24x + 124

and we can compare

ax² = x²

a = 1

-2ahx = -2hx = 24x

-2h = 24

h = 24/-2 = -12

ah² + k = 124

(-12)² + k = 124

144 + k = 124

k = -20

so, the vertex form is

y = (x + 12)² - 20

Answer:

C-------------------------------------------------

Answer:

the answer should be 3....this is not right btw

the probability of having a winning raffle ticket is 15%.

Answer:

c) Five out of 8 equal parts of a whole

Step-by-step explanation:

The statement "Five out of 8 equal parts of a whole" means the fraction of 5/8. Hence, option (c) is the correct answer.

Answer:

"Five out of eight equal parts of a whole"

Step-by-step explanation:

In a fraction, the numerator (top part) is saying "this number out of the number below it."

The denominator (lower part) is the number below it that we are taking the proportion out of.

A denominator is ALWAYS equal parts, so if we match up the phrase: "5 out of eight equal parts of a whole"

The graph of a function is shown in the picture and the amplitude will be 6

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a trigonometric function:

[tex]\rm y = -6\cos\left(5x\right)-3[/tex]

As we know, the range for the cosx is [-1, 1]

The maximum value of function y = -6cos(5x)—3 is 3 and minimum value is -9.

The amplitude = 6

Thus, the graph of a function is shown in the picture and the amplitude will be 6

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Answer:

405

Step-by-step explanation:

Given

Solving

a_1=5

Assuming your asking for two sets of systems of equations.

#1: [tex]{y,x}={-1,-1}[/tex]

Steps:

Solve by Substitution :

// Solve equation [2] for the variable  x

[2]    x = -y - 2

// Plug this in for variable  x  in equation [1]

[1]    y - 4•(-y -2) = 3

  [1]    5y = -5

// Solve equation [1] for the variable  y

  [1]    5y = - 5

 [1]    y = - 1

// By now we know this much :

  y = -1

   x = -y-2

// Use the  y  value to solve for  x

x = -(-1)-2 = -1

Solution :

{y,x} = {-1,-1}

2: [tex]{y,x}={3,-1}[/tex]

Steps:

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    x = -y + 2

// Plug this in for variable  x  in equation [1]

 [1]    y + 6•(-y +2) = -3

  [1]    -5y = -15

// Solve equation [1] for the variable  y

[1]    5y = 15

[1]    y = 3

// By now we know this much :

y = 3

x = -y+2

// Use the  y  value to solve for  x

x = -(3)+2 = -1

Solution :

{y,x} = {3,-1}

Answer:

6:25 PM

Step-by-step explanation:

Start of dinner

2:50 PM + 1:45 + 0:50

convert it to minutes

2:50PM + 60+ 45 + 50

= 2:50Pm + 60 + (50 + 10) + (45 - 10)

= 4:50Pm + 35

= 4:50PM + 10 + 25

= 5:25PM

End of dinner

5:25PM + 1 = 6:25PM

Answer:

x<4

Step-by-step explanation:

Here, hope this helped!

A quick tip, just think that the sign is an equal sign, that helps.

Answer: [tex]x < 4[/tex]

Step-by-step explanation:

Our inequality is [tex]3x-3 < 9[/tex]

We will add 3 to both sides. (addition property of equality)

Simplify [tex]9 + 3 9+3 9+3 ~to ~12[/tex].

Then divide both sides by 3. (division property of equality)

[tex]3x[/tex]÷[tex]3 < 12[/tex]÷[tex]3[/tex]

[tex]\frac{3x}{3} < \frac{12}{3}[/tex]

Simplify [tex]312~to~4[/tex].

Answer:

Your answer is 10

Step-by-step explanation:

160 devided by 16 = 10

Hey Mate ,

Reading the given statement ,

Let the cost of printer be x and the cost of Computer be 3x

ATQ ,

3x + x = $1020

4x = $1020

x = 255

Therefore , the cost of Printer is $255 and the cost of computer is $255× 3 = $765

Answer:

f(x) is faster

Step-by-step explanation:

In case it is x^2 then f(x) will be faster.

If you draw these two function in the graph. You can see that

Or you can add any value randomly and see that

Ex:

when x = 5

f(x) = 25, g(x) = 10

when x = 20

f(x) = 400, g(x) = 40

when x is 4 times larger. g(x) is 4 times larger while f(x) is 16 times larger

Answer:

5/16

Step-by-step explanation:

Fraction of claim is 5/8

But you actually eat 1/2

Fraction of large pizza actually eaten 5/16

Hopefully this is correct and it can help you!